On the topological entropy of the irregular part of v-statistics multifractal spectra
- Autores
- Meson, Alejandro Mario; Vericat, Fernando
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Let (x, d) be a compact metric space and f : x → x, if xr is the product of r−copies of x, r ≥ 1, and φ : xr → r, then the multifractal decomposition for v −statistics is given by eφ (α) = ( x : lim n→∞ 1 nr p 0≤i1≤...≤ir≤n−1 φ ¡ f i1 (x) , ..., fir (x) ¢ = α ) . The irregular part, or historic set, of the spectrum is the set points x ∈ x, for which the limit does not exist. In this article we prove that for dynamical systems with specification, the irregular part of the v −statistics spectrum has topological entropy equal to that of the whole space x.
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
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 - Materia
-
TOPOLOGICAL ENTROPY
V-STATISTICS
MILTIFRACTAL SPECTRA - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/23655
Ver los metadatos del registro completo
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On the topological entropy of the irregular part of v-statistics multifractal spectraMeson, Alejandro MarioVericat, FernandoTOPOLOGICAL ENTROPYV-STATISTICSMILTIFRACTAL SPECTRAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let (x, d) be a compact metric space and f : x → x, if xr is the product of r−copies of x, r ≥ 1, and φ : xr → r, then the multifractal decomposition for v −statistics is given by eφ (α) = ( x : lim n→∞ 1 nr p 0≤i1≤...≤ir≤n−1 φ ¡ f i1 (x) , ..., fir (x) ¢ = α ) . The irregular part, or historic set, of the spectrum is the set points x ∈ x, for which the limit does not exist. In this article we prove that for dynamical systems with specification, the irregular part of the v −statistics spectrum has topological entropy equal to that of the whole space x.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; 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; ArgentinaTaylor & Francis2013-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/23655Meson, Alejandro Mario; Vericat, Fernando; On the topological entropy of the irregular part of v-statistics multifractal spectra; Taylor & Francis; Journal of Dynamical Systems and Geometric Theories; 11; 1-2; 12-2013; 1-121726-037X2169-0057CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1080/1726037X.2013.810440info:eu-repo/semantics/altIdentifier/url/http://www.tandfonline.com/doi/abs/10.1080/1726037X.2013.810440info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:26:39Zoai:ri.conicet.gov.ar:11336/23655instacron: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:34982025-10-15 14:26:40.017CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
On the topological entropy of the irregular part of v-statistics multifractal spectra |
| title |
On the topological entropy of the irregular part of v-statistics multifractal spectra |
| spellingShingle |
On the topological entropy of the irregular part of v-statistics multifractal spectra Meson, Alejandro Mario TOPOLOGICAL ENTROPY V-STATISTICS MILTIFRACTAL SPECTRA |
| title_short |
On the topological entropy of the irregular part of v-statistics multifractal spectra |
| title_full |
On the topological entropy of the irregular part of v-statistics multifractal spectra |
| title_fullStr |
On the topological entropy of the irregular part of v-statistics multifractal spectra |
| title_full_unstemmed |
On the topological entropy of the irregular part of v-statistics multifractal spectra |
| title_sort |
On the topological entropy of the irregular part of v-statistics multifractal spectra |
| 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 |
TOPOLOGICAL ENTROPY V-STATISTICS MILTIFRACTAL SPECTRA |
| topic |
TOPOLOGICAL ENTROPY V-STATISTICS MILTIFRACTAL 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, d) be a compact metric space and f : x → x, if xr is the product of r−copies of x, r ≥ 1, and φ : xr → r, then the multifractal decomposition for v −statistics is given by eφ (α) = ( x : lim n→∞ 1 nr p 0≤i1≤...≤ir≤n−1 φ ¡ f i1 (x) , ..., fir (x) ¢ = α ) . The irregular part, or historic set, of the spectrum is the set points x ∈ x, for which the limit does not exist. In this article we prove that for dynamical systems with specification, the irregular part of the v −statistics spectrum has topological entropy equal to that of the whole space x. 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 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 |
| description |
Let (x, d) be a compact metric space and f : x → x, if xr is the product of r−copies of x, r ≥ 1, and φ : xr → r, then the multifractal decomposition for v −statistics is given by eφ (α) = ( x : lim n→∞ 1 nr p 0≤i1≤...≤ir≤n−1 φ ¡ f i1 (x) , ..., fir (x) ¢ = α ) . The irregular part, or historic set, of the spectrum is the set points x ∈ x, for which the limit does not exist. In this article we prove that for dynamical systems with specification, the irregular part of the v −statistics spectrum has topological entropy equal to that of the whole space x. |
| publishDate |
2013 |
| dc.date.none.fl_str_mv |
2013-12 |
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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 |
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publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/23655 Meson, Alejandro Mario; Vericat, Fernando; On the topological entropy of the irregular part of v-statistics multifractal spectra; Taylor & Francis; Journal of Dynamical Systems and Geometric Theories; 11; 1-2; 12-2013; 1-12 1726-037X 2169-0057 CONICET Digital CONICET |
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http://hdl.handle.net/11336/23655 |
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Meson, Alejandro Mario; Vericat, Fernando; On the topological entropy of the irregular part of v-statistics multifractal spectra; Taylor & Francis; Journal of Dynamical Systems and Geometric Theories; 11; 1-2; 12-2013; 1-12 1726-037X 2169-0057 CONICET Digital CONICET |
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eng |
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