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arXiv:2109.13060 [math.DS]AbstractReferencesReviewsResources

Regularity of the drift for random walks in groups acting on Gromov hyperbolic spaces

Luís Miguel Sampaio

Published 2021-09-27, updated 2022-04-18Version 4

In this work we prove the continuity and existence of large deviations for the drift of random walks on groups acting by isometries on Gromov Hyperbolic Spaces. Through the process we refine the multiplicative ergodic theorem of Karlsson and Gou\"ezel for such spaces. The works goes beyond what is known in the literature by allowing spaces that are not necessarily proper.

Comments: 34 pages, 0 figures, V1 -> V3 Correction of an error concerning the type of Groups considered. Also fixed some typos. V3 -> V3 Improvements and clarifications regarding Theorem 4
Categories: math.DS
Subjects: 37A50, 37A05, 37H15, 37A30, 60J10
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