Journal article
Pablo D. Carrasco, Federico Rodriguez-Hertz
To appear in Journal of the Institute of Mathematics of Jussieu, 2023
To appear in Journal of the Institute of Mathematics of Jussieu, 2023
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APA
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Carrasco, P. D., & Rodriguez-Hertz, F. (2023). Equilibrium states for center isometries. To Appear in Journal of the Institute of Mathematics of Jussieu.
Chicago/Turabian
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Carrasco, Pablo D., and Federico Rodriguez-Hertz. “Equilibrium States for Center Isometries.” To appear in Journal of the Institute of Mathematics of Jussieu (2023).
MLA
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Carrasco, Pablo D., and Federico Rodriguez-Hertz. “Equilibrium States for Center Isometries.” To Appear in Journal of the Institute of Mathematics of Jussieu, 2023.
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@article{carrasco2023a,
title = {Equilibrium states for center isometries},
year = {2023},
journal = {To appear in Journal of the Institute of Mathematics of Jussieu},
author = {Carrasco, Pablo D. and Rodriguez-Hertz, Federico}
}
We develop a geometric method to establish existence and uniqueness of equilibrium states associated to some H\"older potentials for center isometries (as are regular elements of Anosov actions), in particular the entropy maximizing measure and the SRB measure. It is also given a characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.
