9 citations · 43 across the 26 of their papers we have counts for
7 papers · 1 filter
Accumulation on the boundary for one-dimensional stochastic particle system
V. A. Malyshev, A. A. Zamyatin
We consider infinite particle system on the positive half-line moving independently of each other. When a particle hits the boundary it immediately disappears, and the boundary mov…
Stochastic Chemical Kinetics with Energy Parameters
Guy Fayolle, Vadim Malyshev, Serguei Pirogov
Abstact: We introduce new models of energy redistribution in stochastic chemical kinetics with several molecule types and energy parameters. The main results concern the situations…
Stochastic micromodel of the Couette flow
V. A. Malyshev, A. D. Manita
We study Markov exclusion process for a particle system with a local interaction in the integer strip. This process models the exchange of velocities and particle-hole exchange of…
Processes with a Local Deterministic Interaction: Invariant Bernoulli Measures
V. A. Malyshev, A. A. Zamyatin
A general class of Markov processes with a local interaction is introduced, which includes exclusion and Kawasaki processes as a very particular case. Bernoulli invariant measures…
On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions
V. A. Malyshev, V. A. Shvets
We consider a symmetric exclusion process on a discrete interval of points with various boundary conditions at the endpoints. We study the asymptotic decay of correlations as $…
Introduction to stochastic models of transportation flows. Part I
V. A. Malyshev, A. A. Zamyatin
We consider here probabilistic models of transportation flows. The main goal of this introduction is rather not to present various techniques for problem solving but to present som…