Journal article
Pablo D. Carrasco, Federico Rodriguez-Hertz
Journal of the Institute of Mathematics of Jussieu, First view, 2023, pp. 1--61
Journal of the Institute of Mathematics of Jussieu, First view, 2023, pp. 1--61
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APA
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Carrasco, P. D., & Rodriguez-Hertz, F. (2023). Equilibrium states for center isometries. Journal of the Institute of Mathematics of Jussieu, First view, 1–61. https://doi.org/10.1017/S147474802300018X
Chicago/Turabian
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Carrasco, Pablo D., and Federico Rodriguez-Hertz. “Equilibrium States for Center Isometries.” Journal of the Institute of Mathematics of Jussieu First view (2023): 1–61.
MLA
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Carrasco, Pablo D., and Federico Rodriguez-Hertz. “Equilibrium States for Center Isometries.” Journal of the Institute of Mathematics of Jussieu, vol. First view, 2023, pp. 1–61, doi:10.1017/S147474802300018X.
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@article{carrasco2023a,
title = {Equilibrium states for center isometries},
year = {2023},
journal = {Journal of the Institute of Mathematics of Jussieu},
pages = {1--61},
volume = {First view},
doi = {10.1017/S147474802300018X},
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.
