×a and ×b empirical measures, the irregular set and entropy / a倍b倍作用に関する経験測度とその不規則集合及びエントロピー

Description

京都大学 / 新制・課程博士 / 博士(理学) / 甲第25086号 / 理博第4993号 / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授 宍倉 光広, 教授 COLLINSBenoit Vincent Pierre, 教授 塚本 真輝 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM

Links & Downloads

1. http://hdl.handle.net/2433/288520
2. 10.14989/doctor.k25086
3. 14301

Tags

multiplication on the circle

irregular set

entropy

Hausdorff dimension

equidistribution

400

Additional Fields

Identifer	oai:union.ndltd.org:kyoto-u.ac.jp/oai:repository.kulib.kyoto-u.ac.jp:2433/288520
Date	25 March 2024
Creators	Usuki, Shunsuke
Contributors	ウスキ, シュンスケ
Publisher	Kyoto University, 京都大学
Source Sets	Kyoto University
Language	English
Detected Language	English
Type	doctoral thesis, Thesis or Dissertation
Rights	This article has been published in a revised form in Ergodic Theory and Dynamical Systems [https://doi.org/10.1017/etds.2023.60]. This version is published under a Creative Commons CC-BY-NC-ND licence. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. ?copyright holder.