A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space

Vincent Le Prince (IRMAR, Rennes)

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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Pages: 45-53

Publication Date: February 2, 2008

DOI: 10.1214/ECP.v13-1350

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