In the present paper we consider the functional equation describing the collisionless particle velocity distribution function f(V) in the framework of probabilistic approach. The key element of the collisionless particles description is using the waiting time distribution ψ(t). The solution of...

We study a one-dimensional sandpile model in small-world networks with long-range links either by introducing them randomly to fixed connection topology (quenched randomness) or to temporary connection topology (annealed randomness) between cells to allow a grain to topple from a cell to a...

In this paper, we looked for evidence of log-periodicity in recent US corporate bond spreads.

We investigate an influence of impurity dimers on the profile of monomer and island densities and the dynamic scaling of island size distributions when small amount of dimers are deposited with the flux of monomers in epitaxial growth. The rate equations are solved numerically using the...

We apply the Hurst exponent idea for investigation of DJIA index time-series data. The behavior of the local Hurst exponent prior to drastic changes in financial series signal is analyzed. The optimal length of the time-window over which this exponent can be calculated in order to make some...

The percolation behaviour during the deposit formation, when the spanning cluster was formed in the substrate plane, was studied. Two competitive or mixed models of surface layer formation were considered in (1+1)-dimensional geometry. These models are based on the combination of ballistic...

We present a broad, phenomenological picture of the distribution of the length of open space linear segments, l, derived from maps of 36 cities in 14 different countries. By scaling the Zipf plot of l, we obtain two master curves for a sample of cities, which are not a function of city size. We...