Harmonicity of Gibbs measures
群论
2007-05-23 v1 动力系统
概率论
摘要
In this paper we extend the construction of random walks with a prescribed Poisson boundary to the case of measures in the class of a generalized Gibbs state. The price for dropping the -quasiconformal assumptions is that we must restrict our attention to CAT() groups. Apart from the new estimates required, we prove a new approximation scheme to provide a positive basis for positive functions in a metric measure space.
引用
@article{arxiv.math/0507033,
title = {Harmonicity of Gibbs measures},
author = {Chris Connell and Roman Muchnik},
journal= {arXiv preprint arXiv:math/0507033},
year = {2007}
}