Laws of rare events for deterministic and random dynamical systems

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Aytaç, 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

Other information

Authenticus ID: P-00X-PH8

DOI: 10.1090/s0002-9947-2014-06300-9

Abstract (EN): <p>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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript 1"> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">L^1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> observables will play a central role in our investigations.</p>

Language: English

Type (Professor's evaluation): Scientific