In this paper we apply the generalized simulated annealing (GSA) approach to the inversion of gravity data for 2-D and 3-D density distributions. We consider a modeling process where the input is the vector of model parameters m (that can be density contrast, mass or some coordinates) and the...

We address the two-dimensional satellite irregular polygons layout problem (TDSIPLP). By mapping the layout problem to a physical system, we present a self-organization emergence algorithm (SEA) based on a multi-agent system (MAS). SEA uses information on the local energy of agents and...

We propose a stochastic approach to combine methods from computational physics and Tsallis statistics in order to analyze the potential energy hypersurface of the proteins. This approach enables us to study protein folding by the topology of the energy hypersurface close to the native...

We discuss and illustrate a new stochastic algorithm (generalized simulated annealing) for computationally finding the global minimum of a given (not necessarily convex) energy/cost function defined in a continuous D-dimensional space. This algorithm recovers, as particular cases, the so-called...

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....