Weighted Multifractal Spectrum of V -Statistics

We analyze and describe the weighted multifractal spectrum of V-statistics. The description will be possible when the condition of “weighted saturation” is fulfilled. This means that the weighted topological entropy of the set of generic points of measure μ equals the measure-theoretic entropy of μ....

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Detalles Bibliográficos
Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Matemática
V-statistics
Weighted multifractal spectrum
Weighted saturation
Weighted specification
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132509
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132509
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
V-statistics
Weighted multifractal spectrum
Weighted saturation
Weighted specification
spellingShingle Matemática
V-statistics
Weighted multifractal spectrum
Weighted saturation
Weighted specification
Mesón, Alejandro Mario
Vericat, Fernando
Weighted Multifractal Spectrum of V -Statistics
topic_facet Matemática
V-statistics
Weighted multifractal spectrum
Weighted saturation
Weighted specification
description We analyze and describe the weighted multifractal spectrum of V-statistics. The description will be possible when the condition of “weighted saturation” is fulfilled. This means that the weighted topological entropy of the set of generic points of measure μ equals the measure-theoretic entropy of μ. Zhao et al. (J Dyn Differ Equ 30:937–955, 2018) proved that for any ergodic measure weighted saturation is verified, generalizing a result of Bowen. Here we prove that under a property of “weighted specification” the saturation holds for any measure. From this we obtain the description of the spectrum of V-statistics. This generalizes the variational result that Fan, Schmeling and Wu obtained for the non-weighted case.
format Articulo
Articulo
author Mesón, Alejandro Mario
Vericat, Fernando
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_sort Mesón, Alejandro Mario
title Weighted Multifractal Spectrum of V -Statistics
title_short Weighted Multifractal Spectrum of V -Statistics
title_full Weighted Multifractal Spectrum of V -Statistics
title_fullStr Weighted Multifractal Spectrum of V -Statistics
title_full_unstemmed Weighted Multifractal Spectrum of V -Statistics
title_sort weighted multifractal spectrum of v -statistics
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/132509
work_keys_str_mv AT mesonalejandromario weightedmultifractalspectrumofvstatistics
AT vericatfernando weightedmultifractalspectrumofvstatistics
bdutipo_str Repositorios
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