Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

Keith Burns; Federico Rodriguez Hertz; María Alejandra Rodriguez Hertz; Anna Talitskaya; Raúl Ures

doi:10.3934/dcds.2008.22.75

Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

Keith Burns
, Federico Rodriguez Hertz
, María Alejandra Rodriguez Hertz
, Anna Talitskaya
, Raúl Ures

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

26 Scopus citations

Abstract

It is shown that stable accessibility property is C^r-dense among partially hyperbolic diffeomorphisms with one-dimensional center bundle, for r ≥ 2, volume preserving or not. This establishes a conjecture by Pugh and Shub for these systems.

Original language	English (US)
Pages (from-to)	75-88
Number of pages	14
Journal	Discrete and Continuous Dynamical Systems
Volume	22
Issue number	1-2
DOIs	https://doi.org/10.3934/dcds.2008.22.75
State	Published - 2008

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2008.22.75

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title = "Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center",

abstract = "It is shown that stable accessibility property is Cr-dense among partially hyperbolic diffeomorphisms with one-dimensional center bundle, for r ≥ 2, volume preserving or not. This establishes a conjecture by Pugh and Shub for these systems.",

author = "Keith Burns and \{Rodriguez Hertz\}, Federico and \{Rodriguez Hertz\}, \{Mar{\'i}a Alejandra\} and Anna Talitskaya and Ra{\'u}l Ures",

year = "2008",

doi = "10.3934/dcds.2008.22.75",

language = "English (US)",

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journal = "Discrete and Continuous Dynamical Systems",

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publisher = "American Institute of Mathematical Sciences",

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T1 - Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

AU - Burns, Keith

AU - Rodriguez Hertz, Federico

AU - Rodriguez Hertz, María Alejandra

AU - Talitskaya, Anna

AU - Ures, Raúl

PY - 2008

Y1 - 2008

N2 - It is shown that stable accessibility property is Cr-dense among partially hyperbolic diffeomorphisms with one-dimensional center bundle, for r ≥ 2, volume preserving or not. This establishes a conjecture by Pugh and Shub for these systems.

AB - It is shown that stable accessibility property is Cr-dense among partially hyperbolic diffeomorphisms with one-dimensional center bundle, for r ≥ 2, volume preserving or not. This establishes a conjecture by Pugh and Shub for these systems.

UR - https://www.scopus.com/pages/publications/53949101558

UR - https://www.scopus.com/pages/publications/53949101558#tab=citedBy

U2 - 10.3934/dcds.2008.22.75

DO - 10.3934/dcds.2008.22.75

M3 - Article

AN - SCOPUS:53949101558

SN - 1078-0947

VL - 22

SP - 75

EP - 88

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 1-2

ER -

Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

Abstract

All Science Journal Classification (ASJC) codes

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