Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds

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dc.creatorBéguin, François
dc.creatorCrovisier, Sylvain
dc.creatorRoux, Frédéric Le
dc.date2008-07-21
dc.date.accessioned2026-07-07T09:51:49Z
dc.date.available2026-07-07T09:51:49Z
dc.descriptionWe prove that the family of measured dynamical systems which can be realised as uniquely ergodic minimal homeomorphisms on a given manifold (of dimension at least two) is stable under measured extension. As a corollary, any ergodic system with an irrational eigenvalue is isomorphic to a uniquely ergodic minimal homeomorphism on the two-torus. The proof uses the following improvement of Weiss relative version of Jewett-Krieger theorem: any extension between two ergodic systems is isomorphic to a skew-product on Cantor sets.
dc.identifierhttps://arxiv.org/abs/0807.3260
dc.identifierhttp://arxiv.org/abs/0807.3260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165380
dc.subjectDynamical Systems
dc.subject37A05, 54H20, 37E30.
dc.titleRealisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds
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