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 Electronic Journal of Probability > Vol. 15(2010) > Paper 9 open journal systems 


Multidimensional Multifractal Random Measures

Rémi Rhodes, Université Paris Dauphine
Vincent Vargas, Université Paris Dauphine


Abstract
We construct and study space homogeneous and isotropic random measures (MMRM) which generalize the so-called MRM measures constructed by previous authors. Our measures satisfy an exact scale invariance equation and are therefore natural models in dimension 3 for the dissipation measure in a turbulent flow.


Full text: PDF

Pages: 241-258

Published on: March 10, 2010
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Electronic Journal of Probability. ISSN: 1083-6489