Weighted Multifractal Spectrum of V -Statistics
- Autores
- Mesón, Alejandro Mario; Vericat, Fernando
- Año de publicación
- 2020
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Instituto de Física de Líquidos y Sistemas Biológicos
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería - Materia
-
Matemática
V-statistics
Weighted multifractal spectrum
Weighted saturation
Weighted specification - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/132509
Ver los metadatos del registro completo
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Weighted Multifractal Spectrum of V -StatisticsMesón, Alejandro MarioVericat, FernandoMatemáticaV-statisticsWeighted multifractal spectrumWeighted saturationWeighted specificationWe 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.Instituto de Física de Líquidos y Sistemas BiológicosGrupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/132509enginfo:eu-repo/semantics/altIdentifier/issn/1040-7294info:eu-repo/semantics/altIdentifier/issn/1572-9222info:eu-repo/semantics/altIdentifier/doi/10.1007/s10884-020-09915-7info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:04:18Zoai:sedici.unlp.edu.ar:10915/132509Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:04:18.622SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Weighted Multifractal Spectrum of V -Statistics |
| title |
Weighted Multifractal Spectrum of V -Statistics |
| spellingShingle |
Weighted Multifractal Spectrum of V -Statistics Mesón, Alejandro Mario Matemática V-statistics Weighted multifractal spectrum Weighted saturation Weighted specification |
| 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 |
| dc.creator.none.fl_str_mv |
Mesón, Alejandro Mario Vericat, Fernando |
| author |
Mesón, Alejandro Mario |
| author_facet |
Mesón, Alejandro Mario Vericat, Fernando |
| author_role |
author |
| author2 |
Vericat, Fernando |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Matemática V-statistics Weighted multifractal spectrum Weighted saturation Weighted specification |
| topic |
Matemática V-statistics Weighted multifractal spectrum Weighted saturation Weighted specification |
| dc.description.none.fl_txt_mv |
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. Instituto de Física de Líquidos y Sistemas Biológicos Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería |
| 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. |
| publishDate |
2020 |
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2020 |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/132509 |
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eng |
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