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Equilibrium states for maps isotopic to Anosov

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Álvarez, Carlos F.
Sánchez Chavarría, Adriana Cristina
Varão, Ana Régis

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Abstract

In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on T4, with two-dimensional center foliation. To do so we propose to study the disintegration of measures along one-dimensional subfoliations of the center bundle. Moreover, we obtain a more general result characterizing the disintegration of ergodic measures in our context.

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Equilibrium States, Partially hyperbolic diffeomorphism, Derived from Anosov, Conditional measures

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https://iopscience.iop.org/article/10.1088/1361-6544/ac04c0

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