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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…
math.DS2024★ 1 cited
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 o…