Rare Events for Cantor Target Sets

• Tipo: Artigo em Revista Científica Internacional
• Data: 2020

Autores

Ana Cristina Moreira Freitas (Autor) FEP; Jorge Milhazes Freitas (Autor) FCUP; Rodrigues, FB (Autor) Outra; Soares, JV (Autor) Outra

Revista

Título: Communications in Mathematical Physics

Vol. 378 Nº 1

Páginas: 75-115

ISSN: 0010-3616

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 6 Citações

Outras Informações

ID Authenticus: P-00S-DHR

DOI: 10.1007/s00220-020-03794-1

Abstract (EN): We study the existence of limiting laws of rare events corresponding to the entrance of the orbits on certain target sets in the phase space. The limiting laws are obtained when the target sets shrink to a Cantor set of zero Lebesgue measure. We consider both the presence and absence of clustering, which is detected by the Extremal Index, which turns out to be very useful to identify the compatibility between the dynamics and the fractal structure of the limiting Cantor set. The computation of the Extremal Index is connected to the box dimension of the intersection between the Cantor set and its iterates.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 41