1 citations · 2 across the 13 of their papers we have counts for
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Noise stability on hyperbolic groups
Timothée Bénard, Ryokichi Tanaka
We show that symmetric random walks on non-elementary hyperbolic groups with non-zero homomorphisms into the reals are noise stable at linear scale under finite exponential moment…
Local limit theorems for random walks on nilpotent Lie groups
Timothée Bénard, Emmanuel Breuillard
We establish the (non-lattice) local limit theorem for products of i.i.d. random variables on an arbitrary simply connected nilpotent Lie group , where the variables are allowed…
The central limit theorem on nilpotent Lie groups
Timothée Bénard, Emmanuel Breuillard
We formulate and establish the central limit theorem for products of i.i.d. random variables on arbitrary simply connected nilpotent Lie groups, allowing a possible bias. Two new p…
Equidistribution of mass for random processes on finite-volume spaces
Timothée Bénard
Let be a real Lie group, a lattice, and . We fix a probability measure on and consider the left random walk induced on . It is assumed that …