| HAL: hal-00394758, version 1 |
| Detailed view | Export this paper |
|
|
|
|
| Multidimensional Multifractal Random Measures |
|
|
| Rémi Rhodes 1Vincent 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 | |
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Probability |
|
|
| Random measures – Multifractal processes |
|
|
|
|
| hal-00394758, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00394758 | |
| oai:hal.archives-ouvertes.fr:hal-00394758 | |
| From: Vincent Vargas | |
| Submitted on: Friday, 12 June 2009 14:08:56 | |
| Updated on: Friday, 12 June 2009 14:16:09 | |