diophantine approximation 1eisenstein integers 1gaussian integers 1homogeneous dynamics 1zero-one laws 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DS2026
Zero-one laws for uniform approximation via Gaussian and Eisenstein integers
René Pfitscher, Anurag Rao, Shucheng Yu +1
The paper proves two zero‑one laws for uniform Diophantine approximation of complex numbers by quotients of Gaussian and Eisenstein integers, using homogeneous dynamics and shrinki…
math.DS2026
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.DS2025
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…