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arXiv:1508.04338 [math.PR]AbstractReferencesReviewsResources

Ergodic theory of the symmetric inclusion process

Kevin Kuoch, Frank Redig

Published 2015-08-18Version 1

We prove the existence of a successful coupling for $n$ particles in the symmetric inclusion process. As a consequence we characterize the ergodic measures with finite moments, and obtain sufficient conditions for a measure to converge in the course of time to an invariant product measure.

Comments: 19 pages, 2 figures
Categories: math.PR, math-ph, math.MP
Subjects: 60K35, 82C22, 82C26
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