Laws of rare events for deterministic and random dynamical systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

Aytaç, H (Autor) Outra; Jorge Milhazes Freitas (Autor) FCUP; Vaienti, S (Autor) Outra

Revista

Título: Transactions of the American Mathematical Society

Vol. 367

Páginas: 8229-8278

ISSN: 0002-9947

Editora: American Mathematical Society

Outras Informações

ID Authenticus: 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>

Idioma: Inglês

Tipo (Avaliação Docente): Científica