3 papers
math.DS2025
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.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…
math.DS2024
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…