Dimensional Properties of the Harmonic Measure for a Random Walk on a Hyperbolic Group
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 ≤ h/l between the dimension of the harmonic measure, the asymptotic entro...
| Veröffentlicht in: | Transactions of the American Mathematical Society. - American Mathematical Society, 1900. - 359(2007), 6, Seite 2881-2898 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2007
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| Zugriff auf das übergeordnete Werk: | Transactions of the American Mathematical Society |
| Schlagworte: | Ergodic theory random walk hyperbolic group harmonic measure entropy Mathematics Physical sciences Philosophy Applied sciences |
| Online verfügbar |
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