Minimality and stable Bernoulliness in dimension 3

Gabriel Núñez; Jana Rodriguez Hertz

doi:10.3934/dcds.2020097

Minimality and stable Bernoulliness in dimension 3

Gabriel Núñez
, Jana Rodriguez Hertz

Departamento de Ciencias Exactas y Naturales

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

2 Citas (Scopus)

Resumen

In 3-dimensional manifolds, we prove that generically in Diff¹_m(M³), the existence of a minimal expanding invariant foliation implies stable Bernoulliness.

Idioma original	Inglés
Páginas (desde-hasta)	1879-1887
Número de páginas	9
Publicación	Discrete and Continuous Dynamical Systems
Volumen	40
N.º	3
DOI	https://doi.org/10.3934/dcds.2020097 https://doi.org/10.3934/dcds.2020097
Estado	Publicada - mar. 2020

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@article{40684e2d2c43451b8abddc74375145a1,

title = "Minimality and stable Bernoulliness in dimension 3",

abstract = "In 3-dimensional manifolds, we prove that generically in Diff1m(M3), the existence of a minimal expanding invariant foliation implies stable Bernoulliness.",

keywords = "generic properties, non-uniform hyperbolicity, smooth ergodic measures, Stable ergodicity, stable minimality",

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

year = "2020",

month = mar,

doi = "10.3934/dcds.2020097",

language = "Ingl{\'e}s",

volume = "40",

pages = "1879--1887",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "3",

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T1 - Minimality and stable Bernoulliness in dimension 3

AU - Núñez, Gabriel

AU - Hertz, Jana Rodriguez

PY - 2020/3

Y1 - 2020/3

N2 - In 3-dimensional manifolds, we prove that generically in Diff1m(M3), the existence of a minimal expanding invariant foliation implies stable Bernoulliness.

AB - In 3-dimensional manifolds, we prove that generically in Diff1m(M3), the existence of a minimal expanding invariant foliation implies stable Bernoulliness.

KW - generic properties

KW - non-uniform hyperbolicity

KW - smooth ergodic measures

KW - Stable ergodicity

KW - stable minimality

UR - https://www.scopus.com/pages/publications/85089855912

U2 - 10.3934/dcds.2020097

DO - 10.3934/dcds.2020097

M3 - Artículo

SN - 1078-0947

VL - 40

SP - 1879

EP - 1887

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 3

ER -

Minimality and stable Bernoulliness in dimension 3

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