Large deviations and rate of escape for hyperbolic random walks

2020/04/29 by Adrien Boulanger, Boulanger, Adrien, Pierre Mathieu +1
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2004.14277

openalex publication_date 2020/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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