Point Processes of Non stationary Sequences Generated by Sequential and Random Dynamical Systems

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Ana Cristina Moreira Freitas (Author) FEP; Jorge Milhazes Freitas (Author) FCUP; Magalhaes, M (Author) FCUP; Vaienti, S (Author) Other

Journal

Title: Journal of Statistical Physics

Vol. 181 No. 4

Pages: 1365-1409

ISSN: 0022-4715

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 4 Citations

Other information

Authenticus ID: P-00S-PQM

DOI: 10.1007/s10955-020-02630-z

Abstract (EN): We give general sufficient conditions to prove the convergence of marked point processes that keep record of the occurrence of rare events and of their impact for non-autonomous dynamical systems. We apply the results to sequential dynamical systems associated to both uniformly and non-uniformly expanding maps and to random dynamical systems given by fibred Lasota Yorke maps.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 45