Central Limit Theorems for Gromov Hyperbolic Groups

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dc.creatorBjorklund, Michael
dc.date2009-05-08
dc.date.accessioned2026-07-07T13:13:06Z
dc.date.available2026-07-07T13:13:06Z
dc.descriptionIn this paper we study asymptotic properties of symmetric and non-degenerate random walks on transient hyperbolic groups. We prove a central limit theorem and a law of iterated logarithm for the drift of a random walk, extending previous results by S. Sawyer and T. Steger and F. Ledrappier for certain CAT minus one groups. The proofs use a result by A. Ancona on the identification of the Martin boundary of a hyperbolic group with its Gromov boundary. We also give a new interpretation, in terms of Hilbert metrics, of the Green metric, first introduced by S. Brofferio and S. Blachere.
dc.descriptionAccepted in Journal of Theoretical Probability
dc.identifierhttps://arxiv.org/abs/0905.1297
dc.identifierhttp://arxiv.org/abs/0905.1297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229782
dc.subjectProbability
dc.subjectMetric Geometry
dc.titleCentral Limit Theorems for Gromov Hyperbolic Groups
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