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arXiv · 1002.0394

The dichotomy of harmonic measures of compact hyperbolic laminations

Shigenori Matsumoto
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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.

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Shigenori Matsumoto. 2011-08-11. The dichotomy of harmonic measures of compact hyperbolic laminations. https://arxiv.org/abs/1002.0394

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