Scale Invariance and Beyond B. Dubrulle, F. Graner* and D. Somette**.*** CNRS, CEAIDSMIDAPNWservice d'Astrophysique, L 'Orme des Merisiers, 709, 91191 Gif-sur-Yvette, France * Laboratoire de Spectrometrie Physique, B.P. 87, 38402 Saint-Martin-d'Heres cedex, France ** Laboratoire de Physique de Ia Matiere Condensee, CNRS and Universite de Nice -Sophia Antipolis, Pare Valrose, 06108 Nice, France ***Department of Earth and Space Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095-1567, U.S.A. 1. INTRODUCTION In physics, any symmetry...