Semigroup Actions of Expanding Maps

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017-01-09

Autores

Maria Pires de Carvalho (Autor) FCUP; Fagner B. Rodrigues (Autor) Outra; Paulo Varandas (Autor) Outra

Revista

Título: Journal of Statistical Physics

Vol. 166

Páginas: 114-136

ISSN: 0022-4715

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 6 Citações

Classificação Científica

CORDIS: Ciências Físicas > Matemática

Outras Informações

ID Authenticus: P-00M-ECP

DOI: 10.1007/s10955-016-1697-3

Abstract (EN): We consider semigroups of Ruelle-expanding maps, parameterized by random walks on the free semigroup, with the aim of examining their complexity and exploring the relation between intrinsic properties of the semigroup action and the thermodynamic formalism of the associated skew-product. In particular, we clarify the connection between the topological entropy of the semigroup action and the growth rate of the periodic points, establish the main properties of the dynamical zeta function of the semigroup action and relate these notions to recent research on annealed and quenched thermodynamic formalism. Meanwhile, we examine how the choice of the random walk in the semigroup unsettles the ergodic properties of the action.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23