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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.
Moez Ben Abid. "Existence et régularité höldérienne des fonctions de bosses." Colloquium Mathematicae 116.2 (2009): 217-225. <http://eudml.org/doc/284236>.
@article{MoezBenAbid2009, author = {Moez Ben Abid}, journal = {Colloquium Mathematicae}, keywords = {pulses; Hölder regularity; random covering; graph dimension}, language = {fre}, number = {2}, pages = {217-225}, title = {Existence et régularité höldérienne des fonctions de bosses}, url = {http://eudml.org/doc/284236}, volume = {116}, year = {2009}, }
TY - JOUR AU - Moez Ben Abid TI - Existence et régularité höldérienne des fonctions de bosses JO - Colloquium Mathematicae PY - 2009 VL - 116 IS - 2 SP - 217 EP - 225 LA - fre KW - pulses; Hölder regularity; random covering; graph dimension UR - http://eudml.org/doc/284236 ER -