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

The multifractal formalism originally introduced for singular measures is revisited using the
wavelet transform. This new approach is based on the definition of partition functions from …

The wavelet decomposition is used to generalize the multifractal formalism to singular
signals. The singularity spectrum is directly determined from the scaling behavior of partition …

The intermittency of the rate of turbulent energy dissipation ε is investigated experimentally,
with special emphasis on its scale-similar facets. This is done using a general formulation in …

The generalized entropies of Renyi inspire new measures for estimating signal information
and complexity in the time-frequency plane. When applied to a time-frequency …

Nonlinear dynamics and chaotic and complex systems constitute some of the most
fascinating developments of late twentieth century mathematics and physics. The …

The multifractal formalism originally introduced to describe statistically the scaling properties
of singular measures is revisited using the wavelet transform. This new approach is based …

Various methods have been developed independently to study the multifractality of
measures in many different contexts. Although they all convey the same intuitive idea of …

Wavelet techniques in multifractal analysis Page 1 2585-30 Joint ICTP-TWAS School on
Coherent State Transforms, TimeFrequency and Time-Scale Analysis, Applications S. Jaffard 2 …

Size-selective concentration of particles in a weakly turbulent protoplanetary nebula may be
responsible for the initial collection of chondrules and other constituents into primitive body …