Dimensional properties of the harmonic measure for a random walk on a hyperbolic group
| dc.creator | Prince, Vincent Le | |
| dc.date | 2004-11-15 | |
| dc.date.accessioned | 2026-07-07T05:14:21Z | |
| dc.date.available | 2026-07-07T05:14:21Z | |
| dc.description | This paper deals with random walks on isometry groups of Gromov hyperbolic spaces, and more precisely with the dimension of the harmonic measure $ν$ associated with such a random walk. We first establish a link of the form $\dim ν\leq h/l$ between the dimension of the harmonic measure, the asymptotic entropy $h$ of the random walk and its rate of escape $l$. Then we use this inequality to show that the dimension of this measure can be made arbitrarily small and deduce a result on the type of the harmonic measure. | |
| dc.identifier | https://arxiv.org/abs/math/0411332 | |
| dc.identifier | http://arxiv.org/abs/math/0411332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73243 | |
| dc.subject | Dynamical Systems | |
| dc.subject | MSC : 60J15, 20F67, 28D20, 28A78 | |
| dc.title | Dimensional properties of the harmonic measure for a random walk on a hyperbolic group | |
| dc.type | text |