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

Department of Natural Sciences

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

2 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	1879-1887
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems
Volume	40
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2020097 https://doi.org/10.3934/dcds.2020097
State	Published - Mar 2020

Keywords

generic properties
non-uniform hyperbolicity
smooth ergodic measures
Stable ergodicity
stable minimality

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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",

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publisher = "American Institute of Mathematical Sciences",

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T1 - Minimality and stable Bernoulliness in dimension 3

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AU - Hertz, Jana Rodriguez

PY - 2020/3

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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

Abstract

Keywords

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