We discuss the almost sure existence of random functions that can be written as sums of elementary pulses. We then estimate their uniform Hölder regularity by applying some results on coverings by random intervals.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm116-2-6, author = {Moez Ben Abid}, title = {Existence et r\'egularit\'e h\"old\'erienne des fonctions de bosses}, journal = {Colloquium Mathematicae}, volume = {116}, year = {2009}, pages = {217-225}, zbl = {1205.60025}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm116-2-6} }
Moez Ben Abid. Existence et régularité höldérienne des fonctions de bosses. Colloquium Mathematicae, Tome 116 (2009) pp. 217-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm116-2-6/