English

Ergodic theory of the symmetric inclusion process

Probability 2015-08-19 v1 Mathematical Physics math.MP

Abstract

We prove the existence of a successful coupling for nn 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.

Keywords

Cite

@article{arxiv.1508.04338,
  title  = {Ergodic theory of the symmetric inclusion process},
  author = {Kevin Kuoch and Frank Redig},
  journal= {arXiv preprint arXiv:1508.04338},
  year   = {2015}
}

Comments

19 pages, 2 figures