Random walks on stochastic hyperbolic half planar triangulations
Probability
2014-08-20 v1
Abstract
We study the simple random walk on stochastic hyperbolic half planar triangulations constructed in Angel and Ray [3]. We show that almost surely the walker escapes the boundary of the map in positive speed and that the return probability to the starting point after n steps scales like .
Cite
@article{arxiv.1408.4196,
title = {Random walks on stochastic hyperbolic half planar triangulations},
author = {Omer Angel and Asaf Nachmias and Gourab Ray},
journal= {arXiv preprint arXiv:1408.4196},
year = {2014}
}
Comments
30 pages