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Multidimensional Multifractal Random Measures
Rémi Rhodes 1, Vincent Vargas 1
(2009-06-12)

We construct and study space homogeneous and isotropic random measures (MMRM) which generalize the so-called MRM measures constructed in \cite{bacry}. Our measures satisfy an exact scale invariance equation (see equation (\ref{eq:invarianceparfaite}) below) and are therefore natural models in dimension 3 for the dissipation measure in a turbulent flow.
1:  CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
CNRS : UMR7534 – Université Paris IX - Paris Dauphine
Mathematics/Probability
Random measures – Multifractal processes
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