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...
Guardado en:
Autores principales: | , |
---|---|
Formato: | Articulo Preprint |
Lenguaje: | Español |
Publicado: |
2015
|
Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/148189 |
Aporte de: |
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 |
work_keys_str_mv |
AT mesonalejandromario ontheirregularpartofvstatisticsmultifractalspectraforsystemswithnonuniformspecification AT vericatfernando ontheirregularpartofvstatisticsmultifractalspectraforsystemswithnonuniformspecification |
bdutipo_str |
Repositorios |
_version_ |
1764820462128332800 |