Wavelet-Based Generalization of the Multifractal Formalism from Scalar to Vector Valued D-Dimensional Random Fields: From Theoretical Concepts to Experimental Applications

摘要

ASSESSMENT: WTMM multifractal analysis moving towards vector fields; OUTLOOK: Better understanding of the information embedded in the WT tensor; Identification of coherent structures in turbulence using WT tensor's smallest singular value: vorticity filaments or sheets; Other applications include astrophysics (interstellar medium, interstellar turbulence), MHD, geophysics, etc.