Dimension of harmonic measures in hyperbolic spaces

We show the exact dimensionality of harmonic measures associated with random walks on groups acting on a hyperbolic space under a finite first moment condition, and establish the dimension formula by the entropy over the drift. We also treat the case when a group acts on a non-proper hyperbolic spac...

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Veröffentlicht in:	Ergodic theory and dynamical systems 2019-02, Vol.39 (2), p.474-499
1. Verfasser:	TANAKA, RYOKICHI
Format:	Artikel
Sprache:	eng
Schlagworte:	Original Article Random walk Riemann manifold
Online-Zugang:	Volltext
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