%0 Journal Article %T Multifractal analysis of L¨¦vy fields %A Arnaud Durand %A St¨¦phane Jaffard %J Mathematics %D 2010 %I arXiv %X We study the pointwise regularity properties of the L\'evy fields introduced by T. Mori; these fields are the most natural generalization of L\'evy processes to the multivariate setting. We determine their spectrum of singularities, and we show that their H\"older singularity sets satisfy a large intersection property in the sense of K. Falconer. %U http://arxiv.org/abs/1005.2893v1