Wavelet transforms are recent mathematical techniques, based on group theory and square
integrable representations, which allows one to unfold a signal, or a field, into both space …

Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

We propose a description of normalized distributions (measures) lying upon possibly fractal
sets; for example those arising in dynamical systems theory. We focus upon the scaling …

The inertial-range scaling laws of fully developed turbulence are described in terms of
scalings of a sequence of moment ratios of the energy dissipation field ε l coarse-grained at …

Fractals and disordered systems have recently become the focus of intense interest in
research. This book discusses in great detail the effects of disorder on mesoscopic scales …

Topological insulators constitute a newly characterized state of matter that contains scatter-
free edge states surrounding an insulating bulk. Conventional wisdom regards the insulating …

▪ Abstract I have sometimes thought that what makes a man's work classic is often just this
multiplicity [of interpretations], which invites and at the same time resists our craving for a …

In this review we will focus on a topic of fundamental importance for both astrophysics and
plasma physics, namely the occurrence of large-amplitude low-frequency fluctuations of the …

We report on the existence of a hitherto undetected form of self-similarity, which we call
extended self-similarity (ESS). ESS holds at high as well as at low Reynolds number, and it …