Invariant sets and measures of nonexpansive group automorphisms

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dc.creatorLindenstrauss, Elon
dc.creatorSchmidt, Klaus
dc.date2003-03-11
dc.date.accessioned2026-07-07T04:55:55Z
dc.date.available2026-07-07T04:55:55Z
dc.descriptionWe prove that the restriction of a probability measure invariant under a nonhyperbolic, ergodic and totally irreducible automorphism of a compact connected abelian group to the leaves of the central foliation is severely restricted. We also prove a topological analogue of this result: the intersection of every proper closed invariant subset with each central leaf is compact.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0303121
dc.identifierhttp://arxiv.org/abs/math/0303121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66749
dc.subjectDynamical Systems
dc.subject37A05, 37A45, 37B05, 37C40
dc.titleInvariant sets and measures of nonexpansive group automorphisms
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