Stable ergodicity of certain linear automorphisms of the torus

Federico Rodriguez Hertz

doi:10.4007/annals.2005.162.65

Stable ergodicity of certain linear automorphisms of the torus

Federico Rodriguez Hertz

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

We find a class of ergodic linear automorphisms of double struck T sign^N that are stably ergodic. This class includes all non-Anosov ergodic automorphisms when N = 4. As a corollary, we obtain the fact that all ergodic linear automorphism of double struck T sign^N are stably ergodic when N ≤ 5.

Original language	English (US)
Pages (from-to)	65-107
Number of pages	43
Journal	Annals of Mathematics
Volume	162
Issue number	1
DOIs	https://doi.org/10.4007/annals.2005.162.65
State	Published - Jul 2005

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2005.162.65

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abstract = "We find a class of ergodic linear automorphisms of double struck T signN that are stably ergodic. This class includes all non-Anosov ergodic automorphisms when N = 4. As a corollary, we obtain the fact that all ergodic linear automorphism of double struck T signN are stably ergodic when N ≤ 5.",

author = "Hertz, {Federico Rodriguez}",

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AB - We find a class of ergodic linear automorphisms of double struck T signN that are stably ergodic. This class includes all non-Anosov ergodic automorphisms when N = 4. As a corollary, we obtain the fact that all ergodic linear automorphism of double struck T signN are stably ergodic when N ≤ 5.

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Stable ergodicity of certain linear automorphisms of the torus

Abstract

All Science Journal Classification (ASJC) codes

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