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WAVELET-BASED ENTROPY MEASURES TO CHARACTERIZE TWO-DIMENSIONAL FRACTIONAL BROWNIAN FIELDS

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dc.creatorJAVIER ESTEBAN CONTRERAS REYES
dc.date2020
dc.date.accessioned2025-01-10T15:09:00Z
dc.date.available2025-01-10T15:09:00Z
dc.date.issued2020
dc.description.abstractTHE AIM OF THIS WORK WAS TO EXTEND THE RESULTS OF PEREZ ET AL. (PHYSICA A (2006), 365 (2), 282?288) TO THE TWO-DIMENSIONAL (2D) FRACTIONAL BROWNIAN FIELD. IN PARTICULAR, WE DEFINED SHANNON ENTROPY USING THE WAVELET SPECTRUM FROM WHICH THE HURST EXPONENT IS ESTIMATED BY THE REGRESSION OF THE LOGARITHM OF THE SQUARE COEFFICIENTS OVER THE LEVELS OF RESOLUTIONS. USING THE SAME METHODOLOGY. WE ALSO DEFINED TWO OTHER ENTROPIES IN 2D: TSALLIS AND THE RÉNYI ENTROPIES. A SIMULATION STUDY WAS PERFORMED FOR SHOWING THE ABILITY OF THE METHOD TO CHARACTERIZE 2D (IN THIS CASE, ?=2 ) SELF-SIMILAR PROCESSES.
dc.formatapplication/pdf
dc.identifier.doi10.3390/e22020196
dc.identifier.issn1099-4300
dc.identifier.issn1099-4300
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10655
dc.languagespa
dc.publisherEntropy
dc.relation.uri10.3390/e22020196
dc.rightsPUBLICADA
dc.titleWAVELET-BASED ENTROPY MEASURES TO CHARACTERIZE TWO-DIMENSIONAL FRACTIONAL BROWNIAN FIELDS
dc.title.alternativeMEDIDAS DE ENTROPÍA BASADAS EN WAVELETS PARA CARACTERIZAR CAMPOS BROWNIANOS FRACCIONARIOS BIDIMENSIONALES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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