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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…