Harmonicity of Gibbs measures
英文摘要：
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 $α$-quasiconformal assumptions is that we must restrict our attention to CAT($-κ$) 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
