Distortion in the group of circle homeomorphisms
Distortion in the group of circle homeomorphisms
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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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.
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Distortion in the group of circle homeomorphisms
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TN_cdi_proquest_journals_2518861118
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2518861118
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2331-8422