Multidimensional Multifractal Random Measures
Rhodes, Rémi; Vargas, Vincent (2010), Multidimensional Multifractal Random Measures, Electronic Journal of Probability, 15, Paper 9, p. 241-258
Type
Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00394758/en/Date
2010Journal name
Electronic Journal of ProbabilityVolume
15Number
Paper 9Publisher
Institute of Mathematical Statistics
Pages
241-258
Metadata
Show full item recordAbstract (EN)
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.Subjects / Keywords
Multifractal processes; Random measuresRelated items
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