Pointwise equidistribution for almost smooth functions with an error rate and Weighted L\'evy-Khintchin theorem
Dynamical Systems
2023-10-11 v1 Classical Analysis and ODEs
Abstract
The purpose of this article is twofold: to prove a pointwise equidistribution theorem with an error rate for almost smooth functions, which strengthens the main result of Kleinbock, Shi and Weiss (2017); and to obtain a L\'evy-Khintchin theorem for weighted best approximations, which extends the main theorem of Cheung and Chevallier (2019). To do so, we employ techniques from homogeneous dynamics and the methods developed in the work of Cheung-Chevallier (2019) and Shapira-Weiss (2022).
Keywords
Cite
@article{arxiv.2310.06632,
title = {Pointwise equidistribution for almost smooth functions with an error rate and Weighted L\'evy-Khintchin theorem},
author = {Bohan Yang and Han Zhang},
journal= {arXiv preprint arXiv:2310.06632},
year = {2023}
}
Comments
32 pages