Distortion in the group of circle homeomorphisms

被引：0

作者：

Banecki, Juliusz ^{[1
]}

Szarek, Tomasz ^{[2
]}

机构：

[1] Polish Acad Sci, Inst Math, Abrahama 18, PL-81967 Sopot, Poland

[2] Gdansk Univ Technol, Fac Phys & Appl Math, Ul Gabriela Narutowicza 11-12, PL-80233 Gdansk, Poland

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2023年 / 43卷 / 04期

关键词：

homeomorphisms; distortion; rotation;

D O I：

10.1017/etds.2022.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be the group PAff(+) (N/Z) of piecewise affine circle homeomorphisms or the group Diff(infinity )(R/Z) of smooth circle diffeomorphisms. A constructive proof that all irrational rotations are distorted in G is given.

引用

页码：1081 / 1086

页数：6

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