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

Antoine Ayache; François Roueff

doi:10.1016/S1063-5203(03)00002-2

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

Antoine Ayache
, François Roueff

Université de Toulouse

Résultats de recherche: Contribution à un journal › Lettre › Revue par des pairs

3 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	75-82
Nombre de pages	8
journal	Applied and Computational Harmonic Analysis
Volume	14
Numéro de publication	1
Les DOIs	https://doi.org/10.1016/S1063-5203(03)00002-2
état	Publié - 1 janv. 2003

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10.1016/S1063-5203(03)00002-2

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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.",

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AU - Roueff, François

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AB - 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.

U2 - 10.1016/S1063-5203(03)00002-2

DO - 10.1016/S1063-5203(03)00002-2

M3 - Letter

AN - SCOPUS:0242489402

SN - 1063-5203

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EP - 82

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

IS - 1

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

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