Shannon entropy and Hausdorff dimension in multifractals

We establish the relationship between the Shannon Entropy and the spectral singularity of a multifractal measure. We show that exist a one-to- one relationship between the Shannon Entropy of each member of the escort distribution of the fractal measure and the Hausdorff dimension of each set belongi...

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Bibliografische gegevens
Gepubliceerd in:Revista Mexicana de Física
Hoofdauteurs: J.L. del Río-Correa, J. López-García
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: Sociedad Mexicana de Física A.C. 2012
Onderwerpen:
Física, Astronomía y Matemáticas
curdling set
Shannon entropy
escort distribution
multifractal measure
Online toegang:https://www.redalyc.org/articulo.oa?id=57030391003
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