Three-leg correlations in the two component spanning tree on the upper half-plane (2009)
Grigorev, S. Y., Poghosyan, V. S., Priezzhev, V. B.
We present a detailed asymptotic analysis of correlation functions for the two component spanning tree on the two-dimensional lattice when one component contains three paths connecting vicinities of...
From Vicious Walkers to TASEP (2008)
Dorlas, T. C., Povolotsky, A. M., Priezzhev, V. B.
We propose a model of semi-vicious walkers, which interpolates between the totally asymmetric simple exclusion process and the vicious walkers model, having the two as limiting cases. For this model...
Two-dimensional spanning webs as (1,2) logarithmic minimal model (2008)
Brankov, J. G., Grigorev, S. Y., Priezzhev, V. B., Tipunin, I. Y.
A lattice model of critical spanning webs is considered for the finite cylinder geometry. Due to the presence of cycles, the model is a generalization of the known spanning tree model which belongs...
Exact solution of the Bernoulli matching model of sequence alignment (2008)
Priezzhev, V. B., Schutz, G. M.
Through a series of exact mappings we reinterpret the Bernoulli model of sequence alignment in terms of the discrete-time totally asymmetric exclusion process with backward sequential update and step...
Jamming probabilities for a vacancy in the dimer model (2008)
Poghosyan, V. S., Priezzhev, V. B., Ruelle, P.
Following the recent proposal made by Bouttier et al [Phys. Rev. E 76, 041140 (2007)], we study analytically the mobility properties of a single vacancy in the close-packed dimer model on the square...
Pair correlations in sandpile model: a check of logarithmic conformal field theory (2007)
Poghosyan, V. S., Grigorev, S. Y., Priezzhev, V. B., Ruelle, P.
We compute the correlations of two height variables in the two-dimensional Abelian sandpile model. We extend the known result for two minimal heights to the case when one of the heights is bigger...
Povolotsky, A. M., Priezzhev, V. B.
Using the Bethe ansatz we obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update on a ring. Developing a...
Determinant solution for the TASEP with particle-dependent hopping probabilities on a ring (2006)
Poghosyan, V. S., Priezzhev, V. B.
We consider the totally asymmetric exclusion process on a ring in discrete time with the backward-ordered sequential update and particle-dependent hopping probabilities. Using a combinatorial...
Determinant solution for the Totally Asymmetric Exclusion Process with parallel update (2006)
Povolotsky, A. M., Priezzhev, V. B.
We consider the totally asymmetric exclusion process in discrete time with the parallel update. Constructing an appropriate transformation of the evolution operator, we reduce the problem to that...
Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model (2005)
Izmailian, N. Sh., Priezzhev, V. B., Ruelle, Philippe, Hu, Chin-Kun
We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections in a...
Brankov, J. G., Papoyan, Vl. V., Poghosyan, V. S., Priezzhev, V. B.
The totally asymmetric simple exclusion process in discrete time is considered on finite rings with fixed number of particles. A translation-invariant version of the backward-ordered sequential...
Povolotsky, A. M., Priezzhev, V. B., Hu, Chin-Kun
We use a discrete-time formulation to study the asymmetric avalanche process [Phys. Rev. Lett. vol. 87, 084301 (2001)] on a finite ring and obtain an exact expression for the average avalanche size...
Exact Non-Stationary Probabilities in the Asymmetric Exclusion Process on a Ring (2002)
By a geometrical treatment of the Bethe ansatz, we obtain an exact solution for the totally asymmetric exclusion process on a ring. We derive an explicit determinant expression for the non-stationary...
The Asymmetric Avalanche Process (2002)
Povolotsky, A. M., Priezzhev, V. B., Hu, Chin-Kun
An asymmetric stochastic process describing the avalanche dynamics on a ring is proposed. A general kinetic equation which incorporates the exclusion and avalanche processes is considered. The Bethe...
Exact Phase Diagram for an Asymmetric Avalanche Process (2001)
Hu, Chin-Kun, Ivashkevich, E. V., Povolotsky, A. M., Priezzhev, V. B.
Exact velocity of dispersive flow in the asymmetric avalanche process (2000)
Ivashkevich, E. V., Povolotsky, A. M., Priezzhev, V. B.
Using the Bethe ansatz we obtain the exact solution for the one-dimensional asymmetric avalanche process. We evaluate the velocity of dispersive flow as a function of driving force and the density of...
Distribution of consecutive waves in the sandpile model on the Sierpinski gasket (2000)
Daerden, F., Priezzhev, V. B., Vanderzande, C.
The scaling properties of waves of topplings in the sandpile model on the Sierpinski gasket are investigated. The exponent describing the asymptotics of the distribution of last waves in an avalanche...
Inversion Symmetry and Critical Exponents of Dissipating Waves in the Sandpile Model (1999)
Hu, Chin-Kun, Ivashkevich, E. V., Lin, Chai-Yu, Priezzhev, V. B.
Statistics of waves of topplings in the Sandpile model is analysed both analytically and numerically. It is shown that the probability distribution of dissipating waves of topplings that touch the...
Scaling of waves in the Bak-Tang-Wiesenfeld sandpile model (1999)
Ktitarev, D. V., Lubeck, S., Grassberger, P., Priezzhev, V. B.
We study probability distributions of waves of topplings in the Bak-Tang-Wiesenfeld model on hypercubic lattices for dimensions D>=2. Waves represent relaxation processes which do not contain...
The Upper Critical Dimension of the Abelian Sandpile Model (1999)
The existing estimation of the upper critical dimension of the Abelian Sandpile Model is based on a qualitative consideration of avalanches as self-avoiding branching processes. We find an exact...
Expansion and Contraction of Avalanches in 2D Abelian Sandpile (1998)
Ktitarev, D. V., Priezzhev, V. B.
We present a detailed analysis of large scale simulations of avalanches in the 2D Abelian sandpile model. We compare statistical properties of two different decompositions of avalanches into clusters...
Dynamics of Eulerian walkers (1998)
Povolotsky, A. M., Priezzhev, V. B., Shcherbakov, R. R.
We investigate the dynamics of Eulerian walkers as a model of self-organized criticality. The evolution of the system is subdivided into characteristic periods which can be seen as avalanches. The...
Introduction to the Sandpile Model (1998)
Ivashkevich, E. V., Priezzhev, V. B.
This article is based on a talk given by one of us (EVI) at the conference ``StatPhys-Taipei-1997''. It overviews the exact results in the theory of the sandpile model and discusses shortly yet...
Eulerian Walkers as a model of Self-Organised Criticality (1996)
Priezzhev, V. B., Dhar, Deepak, Dhar, Abhishek, Krishnamurthy, Supriya
We propose a new model of self-organized criticality. A particle is dropped at random on a lattice and moves along directions specified by arrows at each site. As it moves, it changes the direction...
Self-organized criticality in self-directing walks (1996)
A new model of self-organized criticality is proposed. An algebra of operators is introduced which is similar to that used for the Abelian sandpile model. The structure of the configurational space...
The Kasteleyn model and a cellular automaton approach to traffic flow (1995)
Brankov, J. G., Priezzhev, V. B., Schadschneider, A., Schreckenberg, M.
We propose a bridge between the theory of exactly solvable models and the investigation of traffic flow. By choosing the activities in an apropriate way the dimer configurations of the Kasteleyn...
On the surface tension of directed linear polymers (1989)
Priezzhev, V.B., Terletsky, S.A.
The directed polymer model on a two- and three-dimensional lattice in the presence of infinite boundary is solved in the free fermion approximation. The excess surface free energy fs is studied in a...
On the surface tension of directed linear polymers (1989)
Priezzhev, V.B., Terletsky, S.A.
The directed polymer model on a two- and three-dimensional lattice in the presence of infinite boundary is solved in the free fermion approximation. The excess surface free energy fs is studied in a...
On the surface tension of directed linear polymers (1989)
Priezzhev, V.B., Terletsky, S.A.
The directed polymer model on a two- and three-dimensional lattice in the presence of infinite boundary is solved in the free fermion approximation. The excess surface free energy fs is studied in a...