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Título:
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Singularity of self-similar measures with respect to Hausdorff measures
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Autores:
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Morán Cabré, Manuel ;
Rey Simo, José Manuel
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Tipo de documento:
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texto impreso
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Editorial:
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Facultad de Ciencias Económicas y Empresariales. Decanato, 1995
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Dimensiones:
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application/pdf
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Nota general:
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cc_by_nc_sa
info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias Sociales: Economía: Econometría
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Tipo = Documento de trabajo o Informe técnico
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Resumen:
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Besicoviteh (1941) and Egglestone (1949) analyzed subsets of points of the unit interval with given frequencies in the figures of their base-p expansions. We extend this analysis to self-similar sets, by replacing the frequencies of figures with the frequencies of the generating similitudes. We focus on the interplay among such sets, self-similar measures, and Hausdorff measures. We give a fine-tuned classification of the Hausdorff measures according to the singularity of the self-similar measures with respect to those measures. We show that the self-similar measures are concentrated on sets whose frequencies of similitudes obey the law of the iterated logarithm
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En línea:
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https://eprints.ucm.es/id/eprint/26380/1/9503.pdf
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