Quantitative recurrence for free semigroup actions

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

Authors

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

Journal

Title: Nonlinearity

Vol. 31

Pages: 864-886

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 0 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

Other information

Authenticus ID: P-00N-KMQ

DOI: 10.1088/1361-6544/aa999f

Abstract (EN): We consider finitely generated free semigroup actions on a compact metric space and obtain quantitative information on Poincare recurrence, average first return time and hitting frequency for the random orbits induced by the semigroup action. Besides, we relate the recurrence to balls with the rates of expansion of the semigroup generators and the topological entropy of the semigroup action. Finally, we establish a partial variational principle and prove an ergodic optimization for this kind of dynamical action.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23