Invariant Sets and Measures of Nonexpansive Group Automorphisms
نویسنده
چکیده
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.
منابع مشابه
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