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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…
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…
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…
Winding of geodesic rays chosen by a harmonic measure
Timothée Bénard
We prove limit theorems for the homological winding of geodesic rays distributed via a harmonic measure on a Gromov hyperbolic space. We obtain applications to the inverse problem…