4 citations · 6 across the 15 of their papers we have counts for
5 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…
Homeostasis in Chemical Reaction Pathways
V. A. Malyshev, A. D. Manita, A. A. Zamyatin
We consider stochastic models of chemical reaction networks with time dependent input rates and several types of molecules. We prove that, in despite of strong time dependence of i…
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…
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…
Explicit asymptotic velocity of the boundary between particles and antiparticles
V. A. Malyshev, A. D. Manita, A. A. Zamyatin
On the real line initially there are infinite number of particles on the positive half-line., each having one of negative velocities . Similarly, t…