A variational principle for free semigroup actions

• Type: Article in International Scientific Journal
• Date: 2018

Authors

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

Journal

Title: Advances in Mathematics

Vol. 334

Pages: 450-487

ISSN: 0001-8708

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 0 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00P-18W

DOI: 10.1016/j.aim.2018.06.010

Abstract (EN): In this paper we introduce a notion of measure theoretical entropy for a finitely generated free semigroup action and establish a variational principle when the semigroup is generated by continuous self maps on a compact metric space and has finite topological entropy. In the case of semigroups generated by Ruelle-expanding maps we prove the existence of equilibrium states and describe some of their properties. Of independent interest are the different ways we will present to compute the metric entropy and a characterization of the stationary measures.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 38