Semigroup Actions of Expanding Maps

• Type: Article in International Scientific Journal
• Date: 2017-01-09

Authors

Maria Pires de Carvalho (Author) FCUP; Fagner B. Rodrigues (Author) Other; Paulo Varandas (Author) Other

Journal

Title: Journal of Statistical Physics

Vol. 166

Pages: 114-136

ISSN: 0022-4715

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 6 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23