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.
Citation
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
