Ergodicity and mixing of noncommuting epimorphisms

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dc.creatorBergelson, Vitaly
dc.creatorGorodnik, Alexander
dc.date2005-12-27
dc.date.accessioned2026-07-07T06:55:47Z
dc.date.available2026-07-07T06:55:47Z
dc.descriptionWe study mixing properties of epimorphisms of a compact connected finite-dimensional abelian group $X$. In particular, we show that a set $F$, $|F|>\dim X$, of epimorphisms of $X$ is mixing iff every subset of $F$ of cardinality $(\dim X)+1$ is mixing. We also construct examples of free nonabelian groups of automorphisms of tori which are mixing, but not mixing of order 3, and show that, under some irreducibility assumptions, ergodic groups of automorphisms contain mixing subgroups and free nonabelian mixing subsemigroups.
dc.identifierhttps://arxiv.org/abs/math/0512587
dc.identifierhttp://arxiv.org/abs/math/0512587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106396
dc.subjectDynamical Systems
dc.subject37A25; 37A15; 20H20
dc.titleErgodicity and mixing of noncommuting epimorphisms
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