Walking within growing domains: recurrence versus transience
Probability
2014-08-28 v4
Abstract
For normally reflected Brownian motion and for simple random walk on independently growing in time d-dimensional domains, d>=3, we establish a sharp criterion for recurrence versus transience in terms of the growth rate.
Cite
@article{arxiv.1312.4610,
title = {Walking within growing domains: recurrence versus transience},
author = {Amir Dembo and Ruojun Huang and Vladas Sidoravicius},
journal= {arXiv preprint arXiv:1312.4610},
year = {2014}
}
Comments
22 pages