On a stochastic interacting particle system with pushing dynamics

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Date

2016

Authors

Abdukadyrov, Nurlan

Journal Title

Journal ISSN

Volume Title

Publisher

Nazarbayev University School of Science and Technology

Abstract

In this paper we study a stochastic two-particle system on Z where particles interact each other by pushing dynamics. We derive the explicit formulas of the transition probability and of the probability distributions of each particle's position at time t. Finally, we discuss about the generalization of our works to N-particle system.

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Keywords

Research Subject Categories, stochastic interacting particle system

Citation

Nurlan Abdukadyrov. 2016. On a stochastic interacting particle system with pushing dynamics. School of Science and Technology, Nazarbayev University, Astana, Kazakhstan. http://nur.nu.edu.kz/handle/123456789/1565