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math.PR2021
Random walks on hyperbolic spaces: second order expansion of the rate function at the drift
Richard Aoun, Pierre Mathieu, Cagri Sert
Let be a geodesic Gromov-hyperbolic space, a basepoint and a countably supported non-elementary probability measure on . Denote by $z_…
math.PR2021
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative
Richard Aoun, Cagri Sert
The goal of this article is two-fold: in a first part, we prove Azuma-Hoeffding type concentration inequalities around the drift for the displacement of non-elementary random walks…