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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/47945
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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 Técnicas2025-09-29T10:34:00Zoai: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:34982025-09-29 10:34:01.144CONICET 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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