Large deviations and rate of escape for hyperbolic random walks

Adrien Boulanger; Pierre Mathieu

Large deviations and rate of escape for hyperbolic random walks

Probability 2020-08-20 v2 Geometric Topology

Authors: Adrien Boulanger , Pierre Mathieu

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 $\mu$ .

Keywords

random walk in random environment random walks large deviations principle

Cite

@article{arxiv.2004.14277,
  title  = {Large deviations and rate of escape for hyperbolic random walks},
  author = {Adrien Boulanger and Pierre Mathieu},
  journal= {arXiv preprint arXiv:2004.14277},
  year   = {2020}
}

Comments

arXiv:2004.14315 and arXiv:2004.14277 have been withdrawn and merged into the new paper arXiv:2008.02709

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