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2008 A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space
Vincent Le Prince
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Electron. Commun. Probab. 13: 45-53 (2008). DOI: 10.1214/ECP.v13-1350

Abstract

We establish in this paper an exact formula which links the dimension of the harmonic measure, the asymptotic entropy and the rate of escape for a random walk on a discrete subgroup of the isometry group of a Gromov hyperbolic space. This completes a result obtained by the author in a previous paper, where only an upper bound for the dimension was proved.

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Vincent Le Prince. "A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space." Electron. Commun. Probab. 13 45 - 53, 2008. https://doi.org/10.1214/ECP.v13-1350

Information

Accepted: 2 February 2008; Published: 2008
First available in Project Euclid: 6 June 2016

zbMATH: 1189.60094
MathSciNet: MR2386061
Digital Object Identifier: 10.1214/ECP.v13-1350

Subjects:
Primary: 60G50
Secondary: 20F67, 28A78, 28D20

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