A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series

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Abstract

A fourier formulation of the Frostman criterion for random graphs was presented. Lower bounds of Hausdroff dimension of the graphs of random wavelet series (RWS) were obtained under the hypothesis that the wavelet coefficients possesses bounded probability density function (p.d.f). Results showed that RWS for the lower bounds was sharp and constructed by using the family of Gamma distributions.

Original languageEnglish
Pages (from-to)75-82
Number of pages8
JournalApplied and Computational Harmonic Analysis
Volume14
Issue number1
DOIs
Publication statusPublished - 1 Jan 2003

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