Paper

Equilibrium states for maps isotopic to Anosov

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Published 18 June 2021 • © 2021 IOP Publishing Ltd & London Mathematical Society
, , Citation Carlos F Álvarez et al 2021 Nonlinearity 34 4264 DOI 10.1088/1361-6544/ac04c0

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Author e-mails

C180511@dac.unicamp.br

adriana.sanchez_c@ucr.ac.cr

varao@unicamp.br

Author affiliations

1 Instituto de Matemática, Estatística e Computação Científica, IMECC-UNICAMP, Campinas-SP, Brazil

2 Centro de investigación de Matemática Pura y Aplicada, Universidad de Costa Rica, San José, Costa Rica

Author notes

3 Author to whom any correspondence should be addressed.

Dates

  1. Received 8 December 2020
  2. Revised 26 April 2021
  3. Accepted 25 May 2021
  4. Published

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0951-7715/34/6/4264

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 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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10.1088/1361-6544/ac04c0