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Multidimensional Multifractal Random Measures

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Date
2010
Link to item file
http://hal.archives-ouvertes.fr/hal-00394758/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Multifractal processes; Random measures
Journal issue
Electronic Journal of Probability
Volume
15
Number
Paper 9
Publication date
2010
Article pages
241-258
Publisher
Institute of Mathematical Statistics
URI
https://basepub.dauphine.fr/handle/123456789/3573
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Rhodes, Rémi
Vargas, Vincent
Type
Article accepté pour publication ou publié
Abstract (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.

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