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 …

▪ Abstract We survey the newly developed Hilbert spectral analysis method and its
applications to Stokes waves, nonlinear wave evolution processes, the spectral form of the …

The seminal text on fractal geometry for students and researchers: extensively revised and
updated with new material, notes and references that reflect recent directions. Interest in …

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 …

Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

We present a set of stylized empirical facts emerging from the statistical analysis of price
variations in various types of financial markets. We first discuss some general issues …

Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

The theory of large deviations is concerned with the exponential decay of probabilities of
large fluctuations in random systems. These probabilities are important in many fields of …

One characteristic trait of space plasmas is the multi-scale dynamics resulting from non-
linear transfers and conversions of various forms of energy. Routinely evidenced in a range …