Multifractal scaling of products of birth--death processes (2009)
Anh, Vo V., Leonenko, Nikolai N., Shieh, Narn-Rueih
We investigate the scaling properties of products of the exponential of birth--death processes with certain given marginal discrete distributions and covariance structures. The conditions on the...
Log-Euler's gamma multifractal scenario for products of Ornstein-Uhlenbeck type processes (2008)
Anh, Vo V.; School Of Mathematical Sciences, Queensland University Of Technology, Brisbane, Australia; V.anh@qut.edu.au, Leonenko, Nikolai N.; Cardiff School Of Mathematics, Cardiff University, Cardiff, UK, Shieh, Narn-Rueih; Department Of Mathematics, National Taiwan University, Taipei, Taiwan
We investigate the properties of multifractal products of the exponential of Ornstein-Uhlenbeck processes driven by Lévy motion. The conditions on the mean, variance and covariance functions of...
Simulation for chaos game representation of genomes by recurrent iterated function systems (2008)
Yu, Zuguo, Shi, Long, Xiao, QianJun, Anh, Vo V.
Chaos game representation (CGR) of DNA sequences and linked protein sequences from genomes was proposed by Jeffrey (1990) and Yu et al. (2004), respectively. In this paper, we consider the CGR of...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Simulation for chaos game representation of genomes by recurrent iterated function systems (2008)
Yu, Zuguo, Shi, Long, Xiao, QianJun, Anh, Vo V.
Chaos game representation (CGR) of DNA sequences and linked protein sequences from genomes was proposed by Jeffrey (1990) and Yu et al. (2004), respectively. In this paper, we consider the CGR of...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Simulation for chaos game representation of genomes by recurrent iterated function systems (2008)
Yu, Zuguo, Shi, Long, Xiao, QianJun, Anh, Vo V.
Chaos game representation (CGR) of DNA sequences and linked protein sequences from genomes was proposed by Jeffrey (1990) and Yu et al. (2004), respectively. In this paper, we consider the CGR of...
Finite difference approximations for the fractional Fokker-Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker-Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Simulation for chaos game representation of genomes by recurrent iterated function systems (2008)
Yu, Zuguo, Shi, Long, Xiao, QianJun, Anh, Vo V.
Chaos game representation (CGR) of DNA sequences and linked protein sequences from genomes was proposed by Jeffrey (1990) and Yu et al. (2004), respectively. In this paper, we consider the CGR of...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Simulation for chaos game representation of genomes by recurrent iterated function systems (2008)
Yu, Zuguo, Shi, Long, Xiao, QianJun, Anh, Vo V.
Chaos game representation (CGR) of DNA sequences and linked protein sequences from genomes was proposed by Jeffrey (1990) and Yu et al. (2004), respectively. In this paper, we consider the CGR of...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Simulation for chaos game representation of genomes by recurrent iterated function systems (2008)
Yu, Zuguo, Shi, Long, Xiao, QianJun, Anh, Vo V.
Chaos game representation (CGR) of DNA sequences and linked protein sequences from genomes was proposed by Jeffrey (1990) and Yu et al. (2004), respectively. In this paper, we consider the CGR of...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Statistical inference using higher-order information (2007)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents a class of minimum contrast estimators for stochastic processes with possible long-range dependence based on the information on higher-order spectral densities. The results on...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Multifractality in space–time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space–time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Multifractality in space–time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space–time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, K. H., Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Statistical inference using higher-order information (2007)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents a class of minimum contrast estimators for stochastic processes with possible long-range dependence based on the information on higher-order spectral densities. The results on...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Multifractality in space–time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space–time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, K. H., Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, K. H., Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, K. H., Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Multifractality in space–time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space–time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, K. H., Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Statistical inference using higher-order information (2007)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents a class of minimum contrast estimators for stochastic processes with possible long-range dependence based on the information on higher-order spectral densities. The results on...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Statistical inference using higher-order information (2007)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents a class of minimum contrast estimators for stochastic processes with possible long-range dependence based on the information on higher-order spectral densities. The results on...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Multifractality in space–time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space–time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, K. H., Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Statistical inference using higher-order information (2007)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents a class of minimum contrast estimators for stochastic processes with possible long-range dependence based on the information on higher-order spectral densities. The results on...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy-Feller advection-dispersion process, governed by the Levy-Feller advection-dispersion differential equation (LFADE). We show that...
Numerical approximation of Levy-Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy-Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz-Feller...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Multifractality in space-time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space-time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, K. H., Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Statistical inference using higher-order information (2007)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents a class of minimum contrast estimators for stochastic processes with possible long-range dependence based on the information on higher-order spectral densities. The results on...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Multifractality in space–time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space–time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Statistical inference using higher-order information (2007)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents a class of minimum contrast estimators for stochastic processes with possible long-range dependence based on the information on higher-order spectral densities. The results on...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Distinguish Coding And Noncoding Sequences In A Complete Genome Using Fourier Transform (2007)
Zhou, Yu, Zhou, Li-Qian, Yu, Zu-Guo, Anh, Vo V.
A Fourier transform method is proposed to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation of the DNA sequence proposed in our previous paper...
Yu, Zuguo, Mao, Z., Zhou, Li-Qian, Anh, Vo V.
Traditional sequence distances require alignment. A new mutual information based sequence distance without alignment is defined in this paper. This distance is based on compositional vectors of DNA...
Zhou, Li-Qian, Yu, Zuguo, Nie, P. R., Liao, F. F., Anh, Vo V., Chen, Y. J.
For vertebrate mitochondrial genomes, some phylogenies have been built by various methods with or without sequence alignment. These methods are important for the problem of classification and...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Zhou, Yu, Yu, Zu-Guo, Anh, Vo V.
The 3-dimensional coordinates of alpha-carbon atoms of proteins are used to distinguish the protein structural classes based on recurrence quantification analysis (RQA). We consider two independent...
Prediction of Fractional Brownian Motion-Type Processes (2007)
We introduce a class of continuous-time Gaussian processes with stationary increments via moving-average representation with good MA coefficient. The class includes fractional Brownian motion with...
Multifractality in space–time statistical models (2007)
Ruiz-Medina, Maria D., Angulo, Jose M., Anh, Vo V.
This paper introduces two families of space–time random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal...
Analysis of global geomagnetic variability (2007)
Anh, Vo V., Yu, Zuguo, Wanliss, James A.
The orthogonal field components from global INTERMAGNET magnetometer stations are studied via multifractal detrended fluctuation analysis to determine whether there are clear and consistent regional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Yu, Zuguo, Anh, Vo V., Zhou, Yu, Zhou, Li-Qian
In this presentation we introduce two methods to distinguish coding and non-coding sequences in a complete genome. A numerical sequence representation of DNA sequences is introduced first. There...
Yu, Zuguo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Li, C. P., Chen, Y. J.
There have been a number of recent attempts to develop methodologies that do not require sequence alignment for deriving species phylogeny based on overall similarities of the complete genomes. The...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Spectral properties of Burgers and KPZ turbulence (2006)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial...
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Spectral properties of Burgers and KPZ turbulence (2006)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Spectral properties of Burgers and KPZ turbulence (2006)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Spectral properties of Burgers and KPZ turbulence (2006)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Spectral properties of Burgers and KPZ turbulence (2006)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Spectral properties of Burgers and KPZ turbulence (2006)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Spectral properties of Burgers and KPZ turbulence (2006)
Anh, Vo V., Leonenko, Nikolai N., Sakhno, Ludmila M.
This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Linear Filtering of Systems With Memory and Application to Finance (2006)
Inoue, Akihiko, Nakano, Yumiharu, Anh, Vo V.
-
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Yu, Zu-Guo, Zhou, L.Q., Anh, Vo V., Chu, K.H., Long, S.C., Deng, J.Q.
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Financial markets with memory I: Dynamic models (2005)
This is the first of two papers in which we consider a stock with price process defined by a stochastic differential equation driven by a process Y(t) different from Brownian motion. The adoption of...
Financial markets with memory II: Innovation processes and expected utility maximization (2005)
Anh, Vo V., Inoue, Akihiko, Kasahara, Y.
We develop a prediction theory for a class of processes with stationary increments. In particular, we prove a prediction formula for these processes from a finite segment of the past. Using the...
Fractional kinetic equations driven by Gaussian or infinitely divisible noise (2005)
Angulo, Jose M., Anh, Vo V., McVinish, Ross S., Ruiz-Medina, Maria D.
This paper considers certain fractional (in space and in time) kinetic equations with Gaussian or infinitely divisible noise input. The solutions to the equation are provided for both cases of...
Estimation and simulation of the Riesz-Bessel distribution (2005)
Anh, Vo V., McVinish, Ross S., Pesee, Chatchai
In this paper, further properties of the Riesz-Bessel distribution are provided. These properties allow for the simulation of random variables from the Riesz-Bessel distribution. Estimation is...
Diffusion on multifractals (2005)
Anh, Vo V., Angulo, Jose M., Ruiz-Medina, Maria D.
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial...
Yu, Zu-Guo, Zhou, Li-Qian, Anh, Vo V., Chu, Ka-Hou, Long, Shun-Chao, Deng, Ji-Qing
The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped to resolve the evolution of...
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, Viktoriya P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, Viktoriya P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
The Riesz-Bessel Fractional Diffusion Equation (2004)
This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 21 63), a new CGR of protein sequences based on the detailed HP model is proposed....
Random fields of variable order on multifractal domains (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka-Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Chu, Ka Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka-Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 21 63), a new CGR of protein sequences based on the detailed HP model is proposed....
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
The Riesz-Bessel Fractional Diffusion Equation (2004)
This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the...
Random fields of variable order on multifractal domains (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka H., Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Random fields of variable order on multifractal domains (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Random fields of variable order on multifractal domains (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 21 63), a new CGR of protein sequences based on the detailed HP model is proposed....
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, Viktoriya P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
The Riesz-Bessel Fractional Diffusion Equation (2004)
This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the...
Random fields of variable order on multifractal domains (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka-Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 21 63), a new CGR of protein sequences based on the detailed HP model is proposed....
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, Viktoriya P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
The Riesz-Bessel Fractional Diffusion Equation (2004)
This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the...
Random fields of variable order on multifractal domains (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka-Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 21 63), a new CGR of protein sequences based on the detailed HP model is proposed....
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, Viktoriya P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
The Riesz-Bessel Fractional Diffusion Equation (2004)
This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the...
Random fields of variable order on multifractal domains (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka-Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 21 63), a new CGR of protein sequences based on the detailed HP model is proposed....
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, Viktoriya P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
The Riesz-Bessel Fractional Diffusion Equation (2004)
This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the...
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka-Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 21 63), a new CGR of protein sequences based on the detailed HP model is proposed....
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance (2004)
Anh, Vo V., Knopova, Viktoriya P., Leonenko, Nikolai N.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those...
The Riesz-Bessel Fractional Diffusion Equation (2004)
This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the...
Fractional random fields on domains with fractal boundary (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
For random fields with fractional regularity order (respectively, fractional singularity order), an orthogonal decomposition of the associated reproducing kernel Hilbert space with respect to domains...
Fractional generalized random fields of variable order (2004)
Ruiz-Medina, Maria D., Anh, Vo V., Angulo, Jose M.
-
Chu, Ka-Hou, Qi, Ji, Yu, Zu-Guo, Anh, Vo V.
The complete sequenced genomes of chloroplast have provided much information on the origin and evolution of this organelle. In this paper we attempt to use these sequences to test a novel approach...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Multifractal and correlation analyses of protein sequences from complete genomes (2003)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced...
Completely Monotone Property of Fractional Green Functions (2003)
In this paper it is proved that the Green function of a linear fractional differential equation is completely monotone. Further results on the behaviour of the Green function are obtained by...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Renormalization and Homogenization of Fractional Diffusion Equations with Random Data (2002)
Anh, Vo V., Leonenko, Nikolai N.
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...
Spectral Analysis of Fractional Kinetic Equations with Random Data (2001)
Anh, Vo V., Leonenko, Nikolai N.
We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and...
Measure representation and multifractal analysis of complete genomes (2001)
Yu, Zu-Guo, Anh, Vo V., Lau, Ka-Sing
This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of...
Semiparametric Approximation Methods in Multivariate Model Selection (2001)
Gao, Jiti, Wolff, Rodney C., Anh, Vo V.
In this paper we propose a cross-validation selection criterion to determine asymptotically the correct model among the family of all possible partially linear models when the underlying model is a...