On lacunary wavelet series
Jaffard, Stéphane
Ann. Appl. Probab., Tome 10 (2000) no. 2, p. 313-329 / Harvested from Project Euclid
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We prove that the Hölder singularities of random lacunary wavelet series are chirps located on random fractal sets. We determine the Hausdorff dimensions of these singularities, and the a.e. modulus of continuity of the series. Lacunary wavelet series thus turn out to be a new example of multifractal functions.
Publié le : 2000-02-14
Classification:  Wavelet bases,  Hausdorff dimensions,  chirps,  Hölder regularity,  modulus of continuity,  60G17,  26A15,  28A80 
@article{1019737675,
     author = {Jaffard, St\'ephane},
     title = {On lacunary wavelet series},
     journal = {Ann. Appl. Probab.},
     volume = {10},
     number = {2},
     year = {2000},
     pages = { 313-329},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1019737675}
}

Jaffard, Stéphane. On lacunary wavelet series. Ann. Appl. Probab., Tome 10 (2000) no. 2, pp.  313-329. http://gdmltest.u-ga.fr/item/1019737675/