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 …

Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

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 …

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 …

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 …

▪ 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 …

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 …

In this article, we review the theory of Gaussian multiplicative chaos initially introduced by
Kahane's seminal work in 1985. Though this beautiful paper faded from memory until …