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dc.contributor.author
Figliola, Maria Alejandra
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dc.contributor.author
Serrano, Eduardo Pedro
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dc.contributor.author
Paccosi, Gustavo
dc.contributor.author
Rosenblatt, Mariel
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dc.date.available
2023-03-07T12:57:25Z
dc.date.issued
2010-07
dc.identifier.citation
Figliola, Maria Alejandra; Serrano, Eduardo Pedro; Paccosi, Gustavo; Rosenblatt, Mariel; About the effectiveness of different methods for the estimation of the multifractal spectrum of natural series; World Scientific; International Journal Of Bifurcation And Chaos; 20; 2; 7-2010; 331-339
dc.identifier.issn
0218-1274
dc.identifier.uri
http://hdl.handle.net/11336/189830
dc.description.abstract
Complex natural systems present characteristics of scalar invariance. This behavior has been experimentally verified and a large related bibliography has been reported. Multifractal Formalism is a way to evaluate this kind of behavior. In the past years, different numerical methods to estimate the multifractal spectrum have been proposed. These methods could be classified into those that originated from the wavelet analysis and others from numerical approximations like the Multifractal Detrended Fluctuation Analysis (MFDFA), proposed by Kantelhardt and Stanley. Recently, S. Jaffard and co-workers proposed the Wavelet Leaders (WL) method that exploits the potential of wavelet analysis and the efficiency of the Multiresolution Wavelet Schema. In a previous work, we checked that both methods are equivalent for estimating fractal properties in a series from singular measures. Now, we apply MFDFA and WL to natural signals with self-similar structures, but unknown multifractal spectrum. We observe that some differences appear in their respective estimations, particularly when the signals are corrupted with fractional Gaussian noise.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
World Scientific
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
HÖLDER REGULARITY
dc.subject
MULTIFRACTAL DETRENDED FLUCTUATION ANALYSIS
dc.subject
MULTIFRACTAL FORMALISM
dc.subject
WAVELET LEADERS
dc.subject.classification
Matemática Aplicada
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
About the effectiveness of different methods for the estimation of the multifractal spectrum of natural series
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-03-02T15:20:27Z
dc.journal.volume
20
dc.journal.number
2
dc.journal.pagination
331-339
dc.journal.pais
Singapur
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dc.description.fil
Fil: Figliola, Maria Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
dc.description.fil
Fil: Serrano, Eduardo Pedro. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología; Argentina
dc.description.fil
Fil: Paccosi, Gustavo. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
dc.description.fil
Fil: Rosenblatt, Mariel. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
dc.journal.title
International Journal Of Bifurcation And Chaos
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0218127410025788
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0218127410025788
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