Distortion in the group of circle homeomorphisms
Distortion in the group of circle homeomorphisms
About this item
Full title
Distortion in the group of circle homeomorphisms
Author / Creator
Publisher
Cambridge, UK: Cambridge University Press
Journal title
Ergodic theory and dynamical systems, 2023-04, Vol.43 (4), p.1081-1086
Language
English
Formats
Publication information
Publisher
Cambridge, UK: Cambridge University Press
Subjects
More information
Scope and Contents
Contents
Let G be the group
$\text {PAff}_{+}(\mathbb R/\mathbb Z)$
of piecewise affine circle homeomorphisms or the group
${\operatorname {\mathrm {Diff}}}^{{\kern1pt}\infty }(\mathbb R/\mathbb Z)$
of smooth circle diffeomorphisms. A constructive proof that all irrational rotations are distorted in G is given.
Alternative Titles
Full title
Distortion in the group of circle homeomorphisms
Authors, Artists and Contributors
Author / Creator
Identifiers
Primary Identifiers
Record Identifier
TN_cdi_proquest_journals_2782890941
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2782890941
Other Identifiers
ISSN
0143-3857
E-ISSN
1469-4417
DOI
10.1017/etds.2022.3
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