Equilibrium states for maps isotopic to Anosov

Author(s)

Alvarez, Carlos F. ^[1] ; Sanchez, Adriana ^[2] ; Varao, Regis ^[1]

Affiliation

^[1] Univ Estadual Campinas, IMECC, Inst Matemat Estat & Comp Cient, Campinas, SP - Brazil

^[2] Univ Costa Rica, Ctr Invest Matemat Pura & Aplicada, San Jose - Costa Rica

• Document type: Journal article
• Source: Nonlinearity; v. 34, n. 6, p. 4264-4282, JUN 2021.
• Web of Science Citations: 0

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 <i , 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. (AU)

• FAPESP's process: 18/18990-0 - Regularity of Lyapunov exponents and invariance principle
• Grantee: Adriana Cristina Sanchez Chavarria
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 16/22475-9 - Different contexts for chaos
• Grantee: José Régis Azevedo Varão Filho
• Support Opportunities: Regular Research Grants
• FAPESP's process: 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems
• Grantee: Ali Tahzibi
• Support Opportunities: Research Projects - Thematic Grants