collaborators

4 papers

math.DS2026

Multislicing and effective equidistribution for random walks on some homogeneous spaces

Timothée Bénard, Weikun He

We consider a random walk on a homogeneous space where is or and is a lattice. The walk is driven by a probability measure $μ…

math.DS2026

Khintchine dichotomy and Schmidt estimates for self-similar measures on

Timothée Bénard, Weikun He, Han Zhang

We extend the classical theorems of Khintchine and Schmidt in metric Diophantine approximation to the context of self-similar measures on . For this, we establish eff…

math.DS2025

Khintchine dichotomy for self-similar measures

Timothée Bénard, Weikun He, Han Zhang

We establish the analogue of Khintchine's theorem for all self-similar probability measures on the real line. When specified to the case of the Hausdorff measure on the middle-thir…

math.PR2025

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…