We consider different models of stochastic dissipative equations and theoretically compute the probability distribution functions (actually the associated large deviation functions) of the time averaged injected power required to sustain a nontrivial stationary state. We discuss the results and...

We modify the definition of sample entropy (SaEn) by incorporating a time delay between the components of the block (from which the densities are estimated) and show that the modified method characterizes the complexity of the system better than the original version. We apply the modified SaEn...

The diffusive kinetics in a symmetric double well with a high barrier fluctuating randomly in time is investigated by means of the corresponding Fokker–Planck equation. In the Smoluchowski limit explicit solutions for the equilibrium and the relaxation eigenfunctions are given. Moreover, the...

The notion of sexual cannibalism is introduced in a simple model of population growth derived from the Bernardes model (J. Phys. I 5 (1995) 1501). The effect of sexual cannibalism is studied at the level of a population of individuals. Even in presence of cannibalism, a population can survive...

This paper is a set of notes about work in progress. Since the work is directed toward scaling, it seems quite appropriate to report this in a context devoted to Ben Widom's scientific contributions.

Kinematics of stochastic mechanics is used to study diffusion problems at a more general level, without forcing a link to Newtonian mechanics. Stochastic velocities are taken from Nelson's kinematics to study nonlinear random systems. Random effects are systematically separated from the...

The problems of identifying and eliminating long transients are common to various numerical models in statistical mechanics. These problems are particularly relevant for models of self-organized criticality, as the Olami–Feder–Christensen (OFC) model, for which most of the results were, and...

Arrival times of requests to print in a student laboratory were analyzed. Inter-arrival times between subsequent requests follow a universal scaling law relating time intervals and the size of the request, indicating a scale invariant dynamics with respect to the size. The cumulative...