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Ergodic theory of the symmetric inclusion process

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  • Kuoch, Kevin
  • Redig, Frank

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.

Suggested Citation

  • Kuoch, Kevin & Redig, Frank, 2016. "Ergodic theory of the symmetric inclusion process," Stochastic Processes and their Applications, Elsevier, vol. 126(11), pages 3480-3498.
    • Handle: RePEc:eee:spapps:v:126:y:2016:i:11:p:3480-3498
    DOI: 10.1016/j.spa.2016.05.002
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    References listed on IDEAS

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    1. Kleiber, Christian & Stoyanov, Jordan, 2013. "Multivariate distributions and the moment problem," Journal of Multivariate Analysis, Elsevier, vol. 113(C), pages 7-18.
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