11 citations · 27 across the 17 of their papers we have counts for
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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.DS2021★ 6 cited
Expanding measures: Random walks and rigidity on homogeneous spaces
Roland Prohaska, Cagri Sert, Ronggang Shi
Let be a real Lie group, a lattice and a connected semisimple subgroup without compact factors and with finite center. We define the notion of -expanding measure…
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…