Stable ergodicity of certain linear automorphisms of the torus

dc.creatorHertz, Federico Rodriguez
dc.date2002-12-26
dc.date.accessioned2026-07-07T04:54:04Z
dc.date.available2026-07-07T04:54:04Z
dc.descriptionWe prove that some ergodic linear automorphisms of $\T^N$ are stably ergodic, i.e. any small perturbation remains ergodic. The class of linear automorphisms we deal with includes all non-Anosov ergodic automorphisms when N=4 and so, as a corollary, we get that every ergodic linear automorphism of $\T^N$ is stably ergodic when $N\leq 5$.
dc.identifierhttps://arxiv.org/abs/math/0212345
dc.identifierhttp://arxiv.org/abs/math/0212345
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66100
dc.subjectDynamical Systems
dc.titleStable ergodicity of certain linear automorphisms of the torus
dc.typetext

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