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...

We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and link orientation. Since the method detects efficiently clustered nodes in large networks even when these are not sharply partitioned, it turns...

This paper considers the influence of both weak compressibility and time-dependence effects in two-dimensional random flow on the passive scalar behavior in the framework of the continuum percolation approach. It is shown that there is a characteristic velocity scale, which corresponds to the...

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...

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...

FX pricing processes are nonstationary and their frequency characteristics are time-dependent. Most do not conform to geometric Brownian motion, since they exhibit a scaling law with a Hurst exponent between zero and 0.5 and fractal dimensions between 1.5 and 2. This paper uses wavelet...