Weikun He

most citedMultislicing and effective equidistribution for random walks on some homogeneous spaces

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math.DS2026

Effective equidistribution of random walks on simple homogeneous spaces

TimothÃ©e BÃ©nard, Weikun He

We consider a random walk on a homogeneous space $G / I^$ where $G$ is a non-compact simple Lie group and $I^$ is a lattice. The walk is driven by a probability measure $I^¼$ on $G$ w…

math.DS2026★ 1 cited

Multislicing and effective equidistribution for random walks on some homogeneous spaces

TimothÃ©e BÃ©nard, Weikun He

We consider a random walk on a homogeneous space $G / I^$ where $G$ is $SO (2, 1)$ or $SO (3, 1)$ and $I^$ is a lattice. The walk is driven by a probability measure $Î¼…

math.DS2026

Khintchine dichotomy and Schmidt estimates for self-similar measures on $R^{d}$

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

math.DS2025

Khintchine dichotomy for self-similar measures

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…

Effective equidistribution of random walks on simple homogeneous spaces

Multislicing and effective equidistribution for random walks on some homogeneous spaces

Khintchine dichotomy and Schmidt estimates for self-similar measures on Rd

Khintchine dichotomy for self-similar measures

Khintchine dichotomy and Schmidt estimates for self-similar measures on $R^{d}$