Using the superstatistics method, we propose an extension of the random matrix theory to cover systems with mixed regular-chaotic dynamics. Unlike most of the other works in this direction, the ensembles of the proposed approach are basis invariant but the matrix elements are not statistically...

We present a multiscale signal analysis based on the multifractal spectrum obtained by the Wavelet Transform Modulus Maxima technique. We analyze time series from turbulent data: the first step is to obtain the PDF of the flutuations for velocities records and then to fit them by means of the...

It is proved that the only additive and isotropic information measure that can depend on the probability distribution and also on its first derivative is a linear combination of the Boltzmann–Gibbs–Shannon and Fisher information measures. Power-law equilibrium distributions are found as a...

There is experimental and theoretical evidence that the broad rapidity distribution of net proton yield (p−p̄) in central heavy-ion collisions at SPS energies could be a signal of non-equilibrium properties of the system. We show that the broad rapidity shape can be well reproduced in the...

A simple superstatistical Lagrangian stochastic model (Phys. Fluids 15 (2003) L1; Phys. Rev. Lett. 91 (2003) 84503) that accounts explicitly for fluctuations in the rate of dissipation of turbulent kinetic energy has been shown to be in remarkably close agreement with recently acquired data for...

In this work, we examine two different measures for inhomogeneity and complexity that are derived from non-extensive considerations à la Tsallis. Their performance is then tested on theoretically generated patterns. All measures are found to exhibit a most sensitive behaviour for Sierpinski...

The author studied the effects of the environment described by Tsallis statistics in quantum mechanics, when the deviation from Boltzmann–Gibbs (BG) statistics is small. The x4 model was used and the squeeze angle caused by the difference between Tsallis and BG statistics was calculated...

We investigate the magnetic properties of a composed nonextensive system. The work is motivated by recent proposals that manganites are magnetically nonextensive objects, according to Tsallis statistics. We consider a two-parts composed system, A−B (both spins 12), and calculate...

By using non-extensive block entropy statistics, we demonstrate analytically that the static structures of deterministic Cantor sets with fractal dimension df are characterised by a non-extensive q-exponent q=1/(df-d), for dfd (where d is the embedding dimensions of the fractal set). To...