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January 2002 The Convergence Result for Critical Reversible Nearest Particle Systems
Thomas Mountford
Ann. Probab. 30(1): 1-61 (January 2002). DOI: 10.1214/aop/1020107760

Abstract

We consider critical reversible nearest particle systems. We assume that the associated renewal measure has large moments as well as some regularity conditions. It is shown that such processes, started from a nontrivial ergodic translation invariant distribution, converge in distribution to the upper invariant measure.

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Thomas Mountford. "The Convergence Result for Critical Reversible Nearest Particle Systems." Ann. Probab. 30 (1) 1 - 61, January 2002. https://doi.org/10.1214/aop/1020107760

Information

Published: January 2002
First available in Project Euclid: 29 April 2002

zbMATH: 1061.60108
Digital Object Identifier: 10.1214/aop/1020107760

Subjects:
Primary: 60K35 , 82C22

Keywords: critical , Nearest particle system , reversible

Rights: Copyright © 2002 Institute of Mathematical Statistics

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Vol.30 • No. 1 • January 2002
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