Centralizers of C^1-generic diffeomorphisms

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dc.creatorBonatti, Christian
dc.creatorCrovisier, Sylvain
dc.creatorWilkinson, Amie
dc.date2006-10-02
dc.date.accessioned2026-07-07T07:28:35Z
dc.date.available2026-07-07T07:28:35Z
dc.descriptionOn the one hand, we prove that the spaces of C^1 symplectomorphisms and of C^1 volume-preserving diffeomorphisms both contain residual subsets of diffeomorphisms whose centralizers are trivial. On the other hand, we show that the space of C^1 diffeomorphisms of the circle and a non-empty open set of C^1 diffeomorphisms of the two-sphere contain dense subsets of diffeomorphisms whose centralizer has a sub-group isomorphic to R.
dc.identifierhttps://arxiv.org/abs/math/0610064
dc.identifierhttp://arxiv.org/abs/math/0610064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117786
dc.subjectDynamical Systems
dc.titleCentralizers of C^1-generic diffeomorphisms
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