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

被引：4

作者：

Ayache, A

Roueff, F ^{[1
]}

机构：

[1] Ecole Natl Super Telecommun Bretagne, CNRS, URA 820, Dept TSI, F-75634 Paris 13, France

[2] Univ Toulouse 3, CNRS, UMR C 5583 UFR MIG, Lab Stat & Probabil, F-31062 Toulouse, France

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2003年 / 14卷 / 01期

关键词：

D O I：

10.1016/S1063-5203(03)00002-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：75 / 82

页数：8

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[2]

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[3]

AYACHE A, 2001, SEM JOURN FRACT AL U

[4]

Benassi A, 1997, REV MAT IBEROAM, V13, P19