Ranking WebSites, a Probabilistic View (2008)
Ying Bao, Gang Feng, Tie-yan Liu, Zhi-ming Ma, Ying Wang
In this paper we suggest evaluating the importance of a website with the mean fre-quency of visiting the website for the Markov chain on the Internet Graph describing random surfing. We show that...
Partitions Of Unity In Sobolev Spaces Over Infinite Dimensional State Spaces (2008)
S. Albeverio, Fakultat Fur Mathematik, Zhi-ming Ma, Michael Röckner
We prove some general results on the existence of partitions of unity in Sobolev type spaces on various infinite dimensional manifolds. As special cases we obtain in particular, (continuous)...
APPROXIMATION OF HUNT PROCESSES BY MULTIVARIATE POISSON PROCESSES (2007)
Zhi-ming Ma, Michael R Ockner, Wei Sun
We prove that arbitrary Hunt processes on a general state space can be approximated by multivariate Poisson processes starting from each point of the state space. The key point is that no additional...
Approximation of arbitrary Dirichlet processes by Markov chains (2007)
Zhi-ming Ma, Michael Röckner, Tu-Sheng Zhang
We prove that any Hunt process on a Hausdorff topological space associated with a Dirichlet form can be approximated by a Markov chain in a canonical way. This also gives a new and "more...
Admissible Vector Fields and Related Diffusions on Infinite Dimensional Manifolds (2007)
Introduction The late 1960's saw the remarkable paper of Dalecky and Shnaiderman [DS69] constructing measures on certain infinite dimensional Lie groups via stochastic differential equations...
Superprocesses of stochastic flows (2001)
We construct a continuous superprocess X on M (R d) which is the unique weak Feller extension of the empirical process of consistent k-point motions generated by a family of differential operators....
Vector fields on mapping spaces and related Dirichlet forms and diffusions (1996)
K. David Elworthy, Zhi-ming Ma
Introduction A. Let ¯ be a Radon measure on an infinite dimensional smooth manifold E. Associated to ¯ there are various additional structures on E. This is seen from the example of Gaussian spaces...
A general correspondence between Dirichlet forms and right processes (1992)
Albeverio, Sergio, Ma, Zhi-Ming
The theory of Dirichlet forms as originated by Beurling-Deny and developed particularly by Fukushima and Silverstein, is a natural functional analytic extension of classical (and axiomatic) potential...
Construction of Diffusions on Configuration Spaces
Zhi-Ming Ma, Michael Röckner, On L
We show that any square field operator on a measurable state space E can be lifted by a natural procedure to a square field operator on the corresponding (multiple) configuration space \Gamma E . We...