Random walk on surfaces with hyperbolic cusps
Spectral Theory
2015-05-19 v1 Probability
Abstract
We consider the operator associated to a random walk on finite volume surfaces with hyperbolic cusps. We study the spectral gap (upper and lower bound) associated to this operator and deduce some rate of convergence of the iterated kernel towards its stationary distribution.
Cite
@article{arxiv.1005.2754,
title = {Random walk on surfaces with hyperbolic cusps},
author = {Hans Christianson and Colin Guillarmou and Laurent Michel},
journal= {arXiv preprint arXiv:1005.2754},
year = {2015}
}
Comments
28 pages