LAWS OF RARE EVENTS FOR DETERMINISTIC AND RANDOM DYNAMICAL SYSTEMS

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Aytac, H (Author) Other; Jorge Milhazes Freitas (Author) FCUP; Vaienti, S (Author) Other

Journal

Title: Transactions of the American Mathematical Society

Vol. 367

Pages: 8229-8278

ISSN: 0002-9947

Publisher: American Mathematical Society

Indexing

ISI Web of Knowledge - 20 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00G-KWT

Abstract (EN): The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal Index of the possible Extreme Value Laws, when the rare events are centred around periodic or non-periodic points. Then we build a general theory of Extreme Value Laws for randomly perturbed dynamical systems. We also address, in both situations, the convergence of Rare Events Point Processes. Decay of correlations against L-1 observables will play a central role in our investigations.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 50