On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification

Autores
Meson, Alejandro Mario; Vericat, Fernando
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let (X,f) be a dynamical system with X a compact metric space. Let X^{r} be the product of r-copies of X, r≥1, and Φ:X^{r} →R. The multifractal decomposition for V-statistics for Φ,f is defined as E_{Φ,f}(α)={x:lim_{n→∞}(1/(n^{r}))∑_{0≤i₁,...,i_{r}≤n-1}Φ(f^{i₁}(x),...,f^{i_{r(x))=α}. 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.
Fil: Meson, Alejandro Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Fil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Materia
Non-Uniform Specification
V-Statistics
Multifractal Spectra
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/47945
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/47945
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform SpecificationMeson, Alejandro MarioVericat, FernandoNon-Uniform SpecificationV-StatisticsMultifractal Spectrahttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let (X,f) be a dynamical system with X a compact metric space. Let X^{r} be the product of r-copies of X, r≥1, and Φ:X^{r} →R. The multifractal decomposition for V-statistics for Φ,f is defined as E_{Φ,f}(α)={x:lim_{n→∞}(1/(n^{r}))∑_{0≤i₁,...,i_{r}≤n-1}Φ(f^{i₁}(x),...,f^{i_{r(x))=α}. 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.Fil: Meson, Alejandro Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería; ArgentinaFil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería; ArgentinaTaylor & Francis2015-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/47945Meson, Alejandro Mario; Vericat, Fernando; On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification; Taylor & Francis; Journal of Dynamical Systems and Geometric Theories; 13; 1; 6-2015; 1-261726-037XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/1726037X.2015.1027108info:eu-repo/semantics/altIdentifier/doi/10.1080/1726037X.2015.1027108info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:39:20Zoai:ri.conicet.gov.ar:11336/47945instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-05 10:39:21.143CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification
title On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification
spellingShingle On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification
Meson, Alejandro Mario
Non-Uniform Specification
V-Statistics
Multifractal Spectra
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
dc.creator.none.fl_str_mv Meson, Alejandro Mario
Vericat, Fernando
author Meson, Alejandro Mario
author_facet Meson, Alejandro Mario
Vericat, Fernando
author_role author
author2 Vericat, Fernando
author2_role author
dc.subject.none.fl_str_mv Non-Uniform Specification
V-Statistics
Multifractal Spectra
topic Non-Uniform Specification
V-Statistics
Multifractal Spectra
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let (X,f) be a dynamical system with X a compact metric space. Let X^{r} be the product of r-copies of X, r≥1, and Φ:X^{r} →R. The multifractal decomposition for V-statistics for Φ,f is defined as E_{Φ,f}(α)={x:lim_{n→∞}(1/(n^{r}))∑_{0≤i₁,...,i_{r}≤n-1}Φ(f^{i₁}(x),...,f^{i_{r(x))=α}. 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.
Fil: Meson, Alejandro Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Fil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
description Let (X,f) be a dynamical system with X a compact metric space. Let X^{r} be the product of r-copies of X, r≥1, and Φ:X^{r} →R. The multifractal decomposition for V-statistics for Φ,f is defined as E_{Φ,f}(α)={x:lim_{n→∞}(1/(n^{r}))∑_{0≤i₁,...,i_{r}≤n-1}Φ(f^{i₁}(x),...,f^{i_{r(x))=α}. 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.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/47945
Meson, Alejandro Mario; Vericat, Fernando; On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification; Taylor & Francis; Journal of Dynamical Systems and Geometric Theories; 13; 1; 6-2015; 1-26
1726-037X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/47945
identifier_str_mv Meson, Alejandro Mario; Vericat, Fernando; On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification; Taylor & Francis; Journal of Dynamical Systems and Geometric Theories; 13; 1; 6-2015; 1-26
1726-037X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/1726037X.2015.1027108
info:eu-repo/semantics/altIdentifier/doi/10.1080/1726037X.2015.1027108
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.087074

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