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Distortion in the group of circle homeomorphisms

Distortion in the group of circle homeomorphisms

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2518861118

Distortion in the group of circle homeomorphisms

About this item

Full title

Distortion in the group of circle homeomorphisms

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2021-04

Language

English

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Publisher

Ithaca: Cornell University Library, arXiv.org

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Subjects and topics

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Scope and Contents

Contents

Let \(G\) be the group \({\rm PAff}_+({\bf S}^1)\) of piecewise--affine circle homeomorphisms or the group \({\Diff}^{\infty}(\mathbb R/\mathbb Z)\) 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

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Record Identifier

TN_cdi_proquest_journals_2518861118

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2518861118

Other Identifiers

E-ISSN

2331-8422

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