2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138578We completely describe the size and large intersection properties of the Holder singularity sets of Levy processes. We also study the set of times at which a given function cannot be a modulus of continuity of a Levy process. The Holder singularity sets of the sample paths of certain random wavelet series are investigated as well.23 pagesProbability60D05; 60G51; 60G17; 26A15; 28A80text