The dichotomy of harmonic measures of compact hyperbolic laminations
Geometric Topology
2013-06-06 v2 Dynamical Systems
Abstract
Given a harmonic measure of a hyperbolic lamination on a compact metric space, a positive harmonic function is defined on the universal cover of a typical leaves. We discuss some properties of this function. Especially if all the leaves are hyperbolic, ergodic harmonic measures are divided into two classes.
Keywords
Cite
@article{arxiv.1002.0394,
title = {The dichotomy of harmonic measures of compact hyperbolic laminations},
author = {Shigenori Matsumoto},
journal= {arXiv preprint arXiv:1002.0394},
year = {2013}
}
Comments
22 pages