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

Departamento de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	1352-1365
Número de páginas	14
Publicación	Nonlinearity
Volumen	34
N.º	3
DOI	https://doi.org/10.1088/1361-6544/abbab3
Estado	Publicada - mar. 2021

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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\}",

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year = "2021",

month = mar,

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

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AU - Obata, Davi

AU - Hertz, Jana Rodriguez

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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

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JO - Nonlinearity

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New examples of stably ergodic diffeomorphisms in dimension 3

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