Smooth stabilizers for measures on the torus

Aaron W Brown

doi:10.3934/dcds.2015.35.43

Smooth stabilizers for measures on the torus

Aaron W Brown^*

^*Corresponding author for this work

Mathematics

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

1 Scopus citations

Abstract

For a dissipative Anosov diffeomorphism f of the 2-torus, we give examples of f-invariant measures μ such that the group of μ-preserving diffeomorphisms is virtually cyclic.

Original language	English (US)
Pages (from-to)	43-58
Number of pages	16
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	35
Issue number	1
DOIs	https://doi.org/10.3934/dcds.2015.35.43
State	Published - Jan 1 2015

Keywords

Anosov diffeomorphisms
Group actions
Hyperbolic dynamics
Invariant measures
Rigidity

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2015.35.43

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title = "Smooth stabilizers for measures on the torus",

abstract = "For a dissipative Anosov diffeomorphism f of the 2-torus, we give examples of f-invariant measures μ such that the group of μ-preserving diffeomorphisms is virtually cyclic.",

keywords = "Anosov diffeomorphisms, Group actions, Hyperbolic dynamics, Invariant measures, Rigidity",

author = "Brown, {Aaron W}",

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doi = "10.3934/dcds.2015.35.43",

language = "English (US)",

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KW - Hyperbolic dynamics

KW - Invariant measures

KW - Rigidity

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Smooth stabilizers for measures on the torus

Abstract

Keywords

ASJC Scopus subject areas

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