A mathematical model for vertical extrapolation of the measurement data for wind speed taken at several measurement heights is presented. The model is based on the method of least squares (LES). By applying the proposed model on the sets of measured data taken at least at three measurement...

A necessary precondition for modeling financial markets is a complete understanding of their statistics, including dynamics. Distributions derived from nonextensive Tsallis statistics are closely connected with dynamics described by a nonlinear Fokker–Planck equation. The combination shows...

In the last two decades, the nonextensive statistics proposed by Tsallis have been extensively discussed in terms of the Tsallis entropy, which is a generalization of the Boltzmann–Gibbs–Shannon entropy. Within the nonextensive framework, many kinds of generalizations have been made. Suyari...

Stochastic bistable systems whose stationary distributions belong to the q-exponential family are investigated using two approaches: (i) the Langevin model subjected to additive and quadratic multiplicative noise, and (ii) the superstatistical model. Previously, the bistable Langevin model has...

The propagation of electron Bernstein waves in a magnetized plasma is investigated in the context of nonextensive q-distribution of Tsallis statistics. The dispersion relation is expressed as a function of generalized hypergeometric function. It is shown that the generalized dispersion relation...

The Galton board is a classical device demonstrating geometrically the formation of normal distributions. In view of long-range interactions, governed by nonextensive statistics, the concept of the Galton board is extended providing numerically the corresponding power-law distributions. Within...

By using the Tsallis-based nonextensive statistics, the analysis of the magnitude distribution of several seismic catalogues in Italy was performed. The analysis shows similar values for the q-value, in good agreement with those obtained for other seismo-tectonic settings [e.g. Silva et al....

The generalized dispersion relation for warm electrostatic waves in magnetized plasmas is derived in the context of the nonextensive q-distribution of Tsallis statistics. The dispersion relation is expressed as a function of different values of the nonextensive parameter q, which quantifies the...

Thermodynamical properties of canonical and grand-canonical ensembles of the half-filled two-site Hubbard model have been discussed within the framework of the nonextensive statistics (NES). For relating the physical temperature T to the Lagrange multiplier β, two methods have been adopted:...

We present an overview of possible imprints of nonextensivity in particle and nuclear physics. Special emphasis is placed on the intrinsic fluctuations present in the system under consideration as the possible source of nonextensivity. The possible connection of nonextensivity and the...