The dichotomy of harmonic measures of compact hyperbolic laminations
Shigenori Matsumoto · arXiv (Cornell University) · 2010
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.