Extreme Value Laws in Dynamical Systems for Non-smooth Observations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

Ana Cristina M Moreira Freitas (Autor) FEP; Jorge Milhazes Freitas (Autor) FCUP; Mike Todd (Autor) Outra

Revista

Título: Journal of Statistical Physics

Vol. 142

Páginas: 108-126

ISSN: 0022-4715

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 56 Citações

ISI Web of Science

Scopus - 59 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Física

Outras Informações

ID Authenticus: P-002-XVC

DOI: 10.1007/s10955-010-0096-4

Abstract (EN): We prove the equivalence between the existence of a non-trivial hitting time statistics law and Extreme Value Laws in the case of dynamical systems with measures which are not absolutely continuous with respect to Lebesgue. This is a counterpart to the result of the authors in the absolutely continuous case. Moreover, we prove an equivalent result for returns to dynamically defined cylinders. This allows us to show that we have Extreme Value Laws for various dynamical systems with equilibrium states with good mixing properties. In order to achieve these goals we tailor our observables to the form of the measure at hand.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19