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EQUILIBRIUM STATES FOR CENTER ISOMETRIES
Published online by Cambridge University Press: 02 June 2023
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.
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- Research Article
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- © The Author(s), 2023. Published by Cambridge University Press
Footnotes
P.D.C. is partially supported by FAPEMIG Universal APQ-02160-21.
F. R.-H. is partially supported by NSF grant DMS-1900778
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