Ergodic theory of the symmetric inclusion process

Kevin Kuoch*, Frank Redig

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)3480-3498
Number of pages19
JournalStochastic Processes and their Applications
Volume126
Issue number11
DOIs
Publication statusPublished - 2016

Keywords

  • Coupling
  • Interacting particle systems
  • Invariant measures
  • Simple inclusion process

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