Open Access
June, 1977 Ergodicity Conditions for a Dissonant Voting Model
Norman S. Matloff
Ann. Probab. 5(3): 371-386 (June, 1977). DOI: 10.1214/aop/1176995798


Call a Markov process "ergodic" if the following conditions hold: (a) The process has a unique invariant measure $\nu$. (b) If $\mu_0$ is any initial distribution for the process, then the resulting distribution $\mu_t$ at time $t$ will converge weakly to $\nu$ as $t \rightarrow \infty$. In this paper, necessary and sufficient conditions are obtained for the ergodicity of a certain infinite particle process. This process models a dissonant voting system, and is similar to one treated in Holley and Liggett (1975).


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Norman S. Matloff. "Ergodicity Conditions for a Dissonant Voting Model." Ann. Probab. 5 (3) 371 - 386, June, 1977.


Published: June, 1977
First available in Project Euclid: 19 April 2007

zbMATH: 0364.60119
MathSciNet: MR445646
Digital Object Identifier: 10.1214/aop/1176995798

Primary: 60J25

Keywords: Ergodic Markov process , Infinite particle system , invariant measure

Rights: Copyright © 1977 Institute of Mathematical Statistics

Vol.5 • No. 3 • June, 1977
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