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

✍ Scribed by Antoine Ayache; François Roueff


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
96 KB
Volume
14
Category
Article
ISSN
1063-5203

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✦ Synopsis


In the paper by F. Roueff "Almost sure Hausdorff dimensions of graphs of random wavelet series" [J. Fourier Anal. Appl., to appear] lower bounds of the Hausdorff dimension of the graphs of random wavelet series (RWS) have been obtained essentially under the hypothesis that the wavelet coefficients have a bounded probability density function (p.d.f.) with respect to the Lebesgue measure. In this article we extend these lower bounds to classes of RWS that do not satisfy this hypothesis.


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