Ergodic theory of the symmetric inclusion process

Kevin Kuoch and Frank Redig

Stochastic Processes and their Applications, 2016, vol. 126, issue 11, 3480-3498

Abstract: We prove the existence of a successful coupling for n particles in the symmetric inclusion process. As a consequence we characterise 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.

Keywords: Interacting particle systems; Simple inclusion process; Invariant measures; Coupling (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:126:y:2016:i:11:p:3480-3498

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DOI: 10.1016/j.spa.2016.05.002

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