Ratio limits and Martin boundary
Probability
2022-06-10 v1
Abstract
Consider an irreducible Markov chain which satisfies a ratio limit theorem, and let be the spectral radius of the chain. We investigate the relation of the the -Martin boundary with the boundary induced by the -harmonic kernel which appears in the ratio limit. Special emphasis is on random walks on non-amenable groups, specifically, free groups and hyperbolic groups.
Keywords
Cite
@article{arxiv.2104.11477,
title = {Ratio limits and Martin boundary},
author = {Wolfgang Woess},
journal= {arXiv preprint arXiv:2104.11477},
year = {2022}
}