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Distortion in the group of circle homeomorphisms

Abstract

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

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Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
ERGODIC THEORY AND DYNAMICAL SYSTEMS no. 43, pages 1081 - 1086,
ISSN: 0143-3857
Language:
English
Publication year:
2023
Bibliographic description:
Banecki J., Szarek T.: Distortion in the group of circle homeomorphisms// ERGODIC THEORY AND DYNAMICAL SYSTEMS -Vol. 43,iss. 4 (2023), s.1081-1086
DOI:
Digital Object Identifier (open in new tab) 10.1017/etds.2022.3
Sources of funding:
  • COST_FREE
Verified by:
Gdańsk University of Technology

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