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arXiv · 2012.04609

Equilibrium states for maps isotopic to Anosov

Carlos F. Álvarez·Adriana Sánchez·Régis Varão
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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 $\mathbb{T}^4$, with 2-dimensional center foliation. To do so we propose to study the disintegration of measures along 1-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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Carlos F. Álvarez, Adriana Sánchez, Régis Varão. 2020-12-08. Equilibrium states for maps isotopic to Anosov. https://doi.org/10.1088/1361-6544/ac04c0

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