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arXiv · 2004.14277

Large deviations and rate of escape for hyperbolic random walks

Adrien Boulanger·Pierre Mathieu
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Abstract

Let $\Gamma$ be a countable group acting on a geodesic hyperbolic metric space $X$ and $\mu$ a probability measure on $\Gamma$ which generates a non elementary semi-group. Under the necessary assumption that $\mu$ has a finite exponential moment, we establish large deviations results for the distance of a random walk with driving measure $\mu$.

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Adrien Boulanger, Pierre Mathieu. 2020-04-29. Large deviations and rate of escape for hyperbolic random walks. https://arxiv.org/abs/2004.14277

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