New examples of stably ergodic diffeomorphisms in dimension 3

Gabriel Núñez; Davi Obata; Jana Rodriguez Hertz

doi:10.1088/1361-6544/abbab3

New examples of stably ergodic diffeomorphisms in dimension 3

Gabriel Núñez
, Davi Obata
, Jana Rodriguez Hertz

Department of Natural Sciences

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

Abstract

We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a three-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in three-dimensional manifolds with respect to a smooth volume measure.

Original language	English
Pages (from-to)	1352-1365
Number of pages	14
Journal	Nonlinearity
Volume	34
Issue number	3
DOIs	https://doi.org/10.1088/1361-6544/abbab3
State	Published - Mar 2021

Keywords

37D30
dominated splitting
partial hyperbolicity Mathematics Subject Classification numbers: Primary: 37C40
stable ergodicity

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10.1088/1361-6544/abbab3

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title = "New examples of stably ergodic diffeomorphisms in dimension 3",

abstract = "We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a three-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in three-dimensional manifolds with respect to a smooth volume measure.",

keywords = "37D30, dominated splitting, partial hyperbolicity Mathematics Subject Classification numbers: Primary: 37C40, stable ergodicity",

author = "Gabriel N{\'u}{\~n}ez and Davi Obata and Hertz, \{Jana Rodriguez\}",

note = "Publisher Copyright: {\textcopyright} 2021 IOP Publishing Ltd \& London Mathematical Society.",

year = "2021",

month = mar,

doi = "10.1088/1361-6544/abbab3",

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T1 - New examples of stably ergodic diffeomorphisms in dimension 3

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AU - Obata, Davi

AU - Hertz, Jana Rodriguez

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N2 - We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a three-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in three-dimensional manifolds with respect to a smooth volume measure.

AB - We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a three-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in three-dimensional manifolds with respect to a smooth volume measure.

KW - 37D30

KW - dominated splitting

KW - partial hyperbolicity Mathematics Subject Classification numbers: Primary: 37C40

KW - stable ergodicity

UR - https://www.scopus.com/pages/publications/85103382807

U2 - 10.1088/1361-6544/abbab3

DO - 10.1088/1361-6544/abbab3

M3 - Artículo

AN - SCOPUS:85103382807

SN - 0951-7715

VL - 34

SP - 1352

EP - 1365

JO - Nonlinearity

JF - Nonlinearity

IS - 3

ER -

New examples of stably ergodic diffeomorphisms in dimension 3

Abstract

Keywords

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