Exponential mixing for generic volume-preserving Anosov flows in dimension three

Masato Tsujii

doi:10.2969/jmsj/07027595

Exponential mixing for generic volume-preserving Anosov flows in dimension three

Masato Tsujii

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

12 Citations (Scopus)

Abstract

Let M be a closed 3-dimensional Riemann manifold and let 3 ≤ r ≤ ∞. We prove that there exists an open dense subset in the space of C^r volume-preserving Anosov flows on M such that all the flows in it are exponentially mixing.

Original language	English
Pages (from-to)	757-821
Number of pages	65
Journal	Journal of the Mathematical Society of Japan
Volume	70
Issue number	2
DOIs	https://doi.org/10.2969/jmsj/07027595
Publication status	Published - 2018

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.2969/jmsj/07027595

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title = "Exponential mixing for generic volume-preserving Anosov flows in dimension three",

abstract = "Let M be a closed 3-dimensional Riemann manifold and let 3 ≤ r ≤ ∞. We prove that there exists an open dense subset in the space of Cr volume-preserving Anosov flows on M such that all the flows in it are exponentially mixing.",

author = "Masato Tsujii",

note = "Funding Information: 2010 Mathematics Subject Classification. Primary 37A25; Secondary 37D20. Key Words and Phrases. Anosov flow, decay of correlations, transfer operator. This work is partially supported by KAKENHI 15H03627. Publisher Copyright: {\textcopyright} 2018 The Mathematical Society of Japan.",

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doi = "10.2969/jmsj/07027595",

language = "English",

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T1 - Exponential mixing for generic volume-preserving Anosov flows in dimension three

AU - Tsujii, Masato

N1 - Funding Information: 2010 Mathematics Subject Classification. Primary 37A25; Secondary 37D20. Key Words and Phrases. Anosov flow, decay of correlations, transfer operator. This work is partially supported by KAKENHI 15H03627. Publisher Copyright: © 2018 The Mathematical Society of Japan.

PY - 2018

Y1 - 2018

N2 - Let M be a closed 3-dimensional Riemann manifold and let 3 ≤ r ≤ ∞. We prove that there exists an open dense subset in the space of Cr volume-preserving Anosov flows on M such that all the flows in it are exponentially mixing.

AB - Let M be a closed 3-dimensional Riemann manifold and let 3 ≤ r ≤ ∞. We prove that there exists an open dense subset in the space of Cr volume-preserving Anosov flows on M such that all the flows in it are exponentially mixing.

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ER -

Exponential mixing for generic volume-preserving Anosov flows in dimension three

Abstract

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