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2010 Multidimensional Multifractal Random Measures
Rémi Rhodes, Vincent Vargas
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Electron. J. Probab. 15: 241-258 (2010). DOI: 10.1214/EJP.v15-746

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.

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Rémi Rhodes. Vincent Vargas. "Multidimensional Multifractal Random Measures." Electron. J. Probab. 15 241 - 258, 2010. https://doi.org/10.1214/EJP.v15-746

Information

Accepted: 1 January 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1201.60046
MathSciNet: MR2609587
Digital Object Identifier: 10.1214/EJP.v15-746

Subjects:
Primary: 60G57
Secondary: 28A78 , 28A80

Keywords: Multifractal processes , Random measures

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Vol.15 • 2010
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