The dichotomy of harmonic measures of compact hyperbolic laminations

Details The dichotomy of harmonic measures of compact hyperbolic laminations The dichotomy of harmonic measures of compact hyperbolic laminations

2010-02-02

arxiv.org/abs/1002.0394v2

Mathematics

Geometric Topology

22 pages

Scientific paper

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.

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