Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces

F. Rodriguez Hertz; M. A.Rodriguez Hertz; A. Tahzibi; R. Ures

doi:10.1007/s00220-011-1275-0

Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces

F. Rodriguez Hertz
, M. A.Rodriguez Hertz
, A. Tahzibi
, R. Ures

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

26 Scopus citations

Abstract

We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms, we prove that there exists at most one SRB measure.

Original language	English (US)
Pages (from-to)	35-49
Number of pages	15
Journal	Communications In Mathematical Physics
Volume	306
Issue number	1
DOIs	https://doi.org/10.1007/s00220-011-1275-0
State	Published - Aug 2011

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces",

abstract = "We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms, we prove that there exists at most one SRB measure.",

author = "Hertz, \{F. Rodriguez\} and Hertz, \{M. A.Rodriguez\} and A. Tahzibi and R. Ures",

year = "2011",

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AU - Tahzibi, A.

AU - Ures, R.

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AB - We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms, we prove that there exists at most one SRB measure.

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U2 - 10.1007/s00220-011-1275-0

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M3 - Article

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 1

ER -

Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces

Abstract

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