Invariant sets and measures of nonexpansive group automorphisms

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We 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.
28 pages

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Dynamical Systems, 37A05, 37A45, 37B05, 37C40

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http://salesiana.dossiersoluciones.com/handle/123456789/66749

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303121
 http://arxiv.org/abs/math/0303121

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arXiv