Equilibrium states for maps isotopic to Anosov

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Author(s):	Alvarez, Carlos F. ^[1] ; Sanchez, Adriana ^[2] ; Varao, Regis ^[1] Total Authors: 3
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 Total Affiliations: 2
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