Distortion elements in $Diff^\infty(R/Z)$

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dc.creatorAvila, Artur
dc.date2008-08-18
dc.date.accessioned2026-07-07T09:57:07Z
dc.date.available2026-07-07T09:57:07Z
dc.descriptionWe consider the group of smooth diffeomorphisms of the circle. We show that any recurrent $f$ (in the sense that $\{f^n\}_{n \in Z}$ is not discrete) is in fact a distortion element (in the sense that its iterates can be written as short compositions involving finitely many smooth diffeomorphisms). Thus rotations are distortion elements.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0808.2334
dc.identifierhttp://arxiv.org/abs/0808.2334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167227
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.titleDistortion elements in $Diff^\infty(R/Z)$
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