Large deviations for random walks on Gromov-hyperbolic spaces

Adrien Boulanger; Pierre Mathieu; Cagri Sert; Alessandro Sisto

doi:10.24033/asens.2546

Large deviations for random walks on Gromov-hyperbolic spaces

Adrien Boulanger, Pierre Mathieu, Cagri Sert, Alessandro Sisto

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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Abstract

Let Γ be a countable group acting on a geodesic Gromov-hyperbolic metric space X and μ a probability measure on Γ whose support generates a non-elementary subsemigroup. Under the assumption that μ has a finite exponential moment, we establish large deviations results for the distance and the translation length of a random walk with driving measure μ. From our results, we deduce a special case of a conjecture regarding large deviations of spectral radii of random matrix products.

Original language	English
Pages (from-to)	885-944
Number of pages	60
Journal	Annales scientifiques de l'École normale supérieure
Volume	56
Issue number	3
DOIs	https://doi.org/10.24033/asens.2546
Publication status	Published - May 2023

Keywords

math.PR
math.DS
math.GR
math.GT

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10.24033/asens.2546

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© 2023 Société Mathématique de France, Paris.
Accepted author manuscript, 703 KBLicence: CC BY

https://arxiv.org/pdf/2008.02709.pdfLicence: CC BY

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Large deviations for random walks on Gromov-hyperbolic spaces

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