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.
Electron. J. Probab.
15:
241-258
(2010).
DOI: 10.1214/EJP.v15-746