EQuilibrium States for Center Isometries

Pablo D. Carrasco; Federico Rodriguez-Hertz

doi:10.1017/S147474802300018X

EQuilibrium States for Center Isometries

Pablo D. Carrasco
, Federico Rodriguez-Hertz

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

6 Scopus citations

Abstract

We develop a geometric method to establish the existence and uniqueness of equilibrium states associated to some Hölder potentials for center isometries (as are regular elements of Anosov actions), in particular, the entropy maximizing measure and the SRB measure. A characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations is also given. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.

Original language	English (US)
Pages (from-to)	1295-1355
Number of pages	61
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	23
Issue number	3
DOIs	https://doi.org/10.1017/S147474802300018X
State	Published - May 2 2024

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "We develop a geometric method to establish the existence and uniqueness of equilibrium states associated to some H{\"o}lder potentials for center isometries (as are regular elements of Anosov actions), in particular, the entropy maximizing measure and the SRB measure. A characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations is also given. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.",

author = "Carrasco, \{Pablo D.\} and Federico Rodriguez-Hertz",

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AU - Rodriguez-Hertz, Federico

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PY - 2024/5/2

Y1 - 2024/5/2

N2 - We develop a geometric method to establish the existence and uniqueness of equilibrium states associated to some Hölder potentials for center isometries (as are regular elements of Anosov actions), in particular, the entropy maximizing measure and the SRB measure. A characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations is also given. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.

AB - We develop a geometric method to establish the existence and uniqueness of equilibrium states associated to some Hölder potentials for center isometries (as are regular elements of Anosov actions), in particular, the entropy maximizing measure and the SRB measure. A characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations is also given. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.

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UR - https://www.scopus.com/pages/publications/85159791249#tab=citedBy

U2 - 10.1017/S147474802300018X

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M3 - Article

AN - SCOPUS:85159791249

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JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

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ER -

EQuilibrium States for Center Isometries

Abstract

All Science Journal Classification (ASJC) codes

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