EGS XXVI General Assembly, Nice, France, March 2001

SC1. Introduction to scaling, fractals and multifractals in geophysics (co-sponsored by NP):

Event Information

This short course will survey the ubiquity and importance of scaling in geophysics, from deep in the earth to outerspace, from solid to fluid geophysics. Review of published geophysical case studies will provide for a lively and pedagogical introduction to the notions and applications of scaling, fractal sets, multifractal fields, scaling exponents, fractal dimension, multifractal hierarchy of co-dimensions, scaling anisotropy, self-organized criticality and strongly non-gaussian statistics (fat/heavy tailed extremes). The course will also introduce the participants to standard techniques, algorithms, for the estimation of (multi-) fractal exponents, and multifractal simulations of geophysical fields. A review of the exact mathematical results will be also given. Participants will be able to both follow the newest theoretical developments of these notions and techniques, and also apply them in their own domain of expertise including wih the help of newly available softwares. Lecturers: A.H. Fan (Jules Vernes U., Amiens), S. Lovejoy (McGill U., Montreal), B. Mandelbrot (Yale, U., to be confirmed ), D. Schertzer (P.& M. Curie U., Paris).

Preliminary List of Solicited Speakers

A.H. Fan (Jules Vernes U., Amiens), S. Lovejoy (McGill U., Montreal), B. Mandelbrot (Yale, U., to be confirmed ), D. Schertzer (P.& M. Curie U., Paris).

Co-Sponsorship