Equilibrium stability for non-uniformly hyperbolic systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

alves, jf (Autor) FCUP; Ramos, V (Autor) Outra; Siqueira, J (Autor) Outra

Revista

Título: Ergodic Theory and Dynamical Systems

Vol. 39

Páginas: 2619-2642

ISSN: 0143-3857

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 5 Citações

Scopus - 4 Citações

Outras Informações

ID Authenticus: P-00Q-G98

DOI: 10.1017/etds.2017.138

Abstract (EN): We prove that for a wide family of non-uniformly hyperbolic maps and hyperbolic potentials we have equilibrium stability, i.e. the equilibrium states depend continuously on the dynamics and the potential. For this we deduce that the topological pressure is continuous as a function of the dynamics and the potential. We also prove the existence of finitely many ergodic equilibrium states for non-uniformly hyperbolic skew products and hyperbolic Holder continuous potentials. Finally, we show that these equilibrium states vary continuously in the weak* topology within such systems.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 24