Exclusion processes with multiple interactions

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:115

Article

Kovchegov, Y

关键词: interacting particle systems;    symmetric exclusion processes;    couplings;    permutations;   

DOI  :  10.1016/j.spa.2005.03.003

来源: Elsevier

【 摘 要 】

We introduce the mathematical theory of the particle systems that interact via permutations, where transition rates are assigned not to the jumps from a site to a site, but to the permutations themselves. These permutation processes can be viewed as the natural generalization of symmetric exclusion processes, where particles interact via transpositions. We develop a number of innovative coupling techniques for the permutation processes and establish the needed conditions for them to apply. We use duality, couplings and other tools to explore the stationary distributions of the permutation processes with translation invariant rates. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free