Ergodicity of Particle Systems

Jinwen Chen

Tsinghua University

Abstract: We study shift ergodicity, mixing, and related problems for invariant measures of interacting particle systems. The models we consider here include ferromagnetic stochastic Ising models, voter models, contact processes, exclusion processes, three-opinion noisy biased voter models, multi-opinion voter models, etc. Our results answer some questions for these models. One of the main techniques involved is a duality argument.

Received: 24.08.2000
Revised: 23.08.2001

DOI: 10.4213/tmf338

 English version: Theoretical and Mathematical Physics, 2002, 131:3, 801–811

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