Richard Aoun

activity

20102026

most citedRandom subgroups of linear groups are free

47 citations · 51 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.PR2026

Random free semigroups of affine groups

Richard Aoun, Keivan Mallahi-Karai

We investigate random freeness of semigroups in the solvable non-virtually nilpotent setting. We focus on a correlated affine model, namely semigroups generated by the two componen…

math.PR2024

Recurrence of multidimensional affine recursions in the critical case

Richard Aoun, Sara Brofferio, Marc Peigné

We prove, under different natural hypotheses, that the random multidimensional affine recursion $X_{n} = A_{n} X_{n - 1} + B_{n} \in R^{d}, n \geq 1$ , is recurrent in the critical case. In…

math.PR2021

Random walks on hyperbolic spaces: second order expansion of the rate function at the drift

Richard Aoun, Pierre Mathieu, Cagri Sert

Let $(X, d)$ be a geodesic Gromov-hyperbolic space, $o \in X$ a basepoint and $μ$ a countably supported non-elementary probability measure on $Isom (X)$ . 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…

math.PR2019

Matrix Poincaré inequalities and concentration

Richard Aoun, Marwa Banna, Pierre Youssef

We show that any probability measure satisfying a Matrix Poincaré inequality with respect to some reversible Markov generator satisfies an exponential matrix concentration inequali…

math.PR2019

The central limit theorem for eigenvalues

Richard Aoun

We prove that the spectral radius of a strongly irreducible random walk on GLd(R) (or more generally the vector of moduli of eigenvalues of a Zariski-dense random walk on a reducti…