English

Subcritical Contact Process Seen from the Edge: Convergence to Quasi-Equilibrium

Probability 2015-12-18 v3

Abstract

The subcritical contact process seen from the rightmost infected site has no invariant measures. We prove that nevertheless it converges in distribution to a quasi-stationary measure supported on finite configurations.

Keywords

Cite

@article{arxiv.1408.0805,
  title  = {Subcritical Contact Process Seen from the Edge: Convergence to Quasi-Equilibrium},
  author = {Enrique Andjel and François Ezanno and Pablo Groisman and Leonardo T. Rolla},
  journal= {arXiv preprint arXiv:1408.0805},
  year   = {2015}
}