English

Monotone interaction of walk and graph: recurrence versus transience

Probability 2014-06-17 v1

Abstract

We consider recurrence versus transience for models of random walks on domains of Zd\mathbb{Z}^d, in which monotone interaction enforces domain growth as a result of visits by the walk (or probes it sent), to the neighborhood of domain boundary.

Keywords

Cite

@article{arxiv.1406.3764,
  title  = {Monotone interaction of walk and graph: recurrence versus transience},
  author = {Amir Dembo and Ruojun Huang and Vladas Sidoravicius},
  journal= {arXiv preprint arXiv:1406.3764},
  year   = {2014}
}

Comments

12 pages