On the irregular part of V-statistics multifractal spectra for systems with non-uniform specification

Let (X, f) be a dynamical system with X a compact metric space. Let Xr be the product of r-copies of X, r≥ 1, and Φ: Xr → R. The multifractal decomposition for V –statistics for Φ, f is defined as [fórmula]. The set of points x ∊ X, for which the limit does not exist is called the irregular part, or...

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Detalles Bibliográficos
Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Articulo Preprint
Lenguaje:Español
Publicado: 2015
Materias:
Ciencias Exactas
Matemática
Non-uniform specification
V –statistics
Multifractal spectra
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/148189
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-148189
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Ciencias Exactas
Matemática
Non-uniform specification
V –statistics
Multifractal spectra
spellingShingle Ciencias Exactas
Matemática
Non-uniform specification
V –statistics
Multifractal spectra
Mesón, Alejandro Mario
Vericat, Fernando
On the irregular part of V-statistics multifractal spectra for systems with non-uniform specification
topic_facet Ciencias Exactas
Matemática
Non-uniform specification
V –statistics
Multifractal spectra
description Let (X, f) be a dynamical system with X a compact metric space. Let Xr be the product of r-copies of X, r≥ 1, and Φ: Xr → R. The multifractal decomposition for V –statistics for Φ, f is defined as [fórmula]. The set of points x ∊ X, for which the limit does not exist is called the irregular part, or historic set, of the spectrum. In this article we analyze the irregular part of the V -statistics for systems satisfying a weak form of the known Bowen specification property, called the non-uniform specification property. This concept was introduced by P. Varandas and allows to work in a nonuniformly hyperbolic context.
format Articulo
Preprint
author Mesón, Alejandro Mario
Vericat, Fernando
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_sort Mesón, Alejandro Mario
title On the irregular part of V-statistics multifractal spectra for systems with non-uniform specification
title_short On the irregular part of V-statistics multifractal spectra for systems with non-uniform specification
title_full On the irregular part of V-statistics multifractal spectra for systems with non-uniform specification
title_fullStr On the irregular part of V-statistics multifractal spectra for systems with non-uniform specification
title_full_unstemmed On the irregular part of V-statistics multifractal spectra for systems with non-uniform specification
title_sort on the irregular part of v-statistics multifractal spectra for systems with non-uniform specification
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/148189
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