From rates of mixing to recurrence times via large deviations

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

Autores

alves, jf (Autor) FCUP; freitas, jm (Autor) FCUP; luzzatto, s (Autor) Outra; vaienti, s (Autor) Outra

Revista

Título: Advances in Mathematics

Vol. 228 Nº 2

Páginas: 1203-1236

ISSN: 0001-8708

Editora: Elsevier

Indexação

ISI Web of Knowledge - 36 Citações

ISI Web of Science

Scopus - 41 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

CORDIS: Ciências Físicas > Matemática > Teoria do caos

Outras Informações

ID Authenticus: P-002-MBV

DOI: 10.1016/j.aim.2011.06.014

Abstract (EN): A classic approach in dynamical systems is to use particular geometric structures to deduce statistical properties, for example the existence of invariant measures with stochastic-like behaviour such as large deviations or decay of correlations. Such geometric structures are generally highly non-trivial and thus a natural question is the extent to which this approach can be applied. In this paper we show that in many cases stochastic-like behaviour itself implies that the system has certain non-trivial geometric properties, which are therefore necessary as well as sufficient conditions for the occurrence of the statistical properties under consideration. As a by product of our techniques we also obtain some new results on large deviations for certain classes of systems which include Viana maps and multidimensional piecewise expanding maps.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 34