Temporal variation of spatial clustering in fire data recorded from 1997 to 2003 in Tuscany region, central Italy, has been investigated using the Voronoï polygon area, the Morishita index and the fractal dimension. Our findings reveal that the spatial clustering of fire events changes with...

We study the scaling properties of forced folding of thin materials of different geometry. The scaling relations implying the topological crossovers from the folding of three-dimensional plates to the folding of two-dimensional sheets, and further to the packing of one-dimensional strings, are...

The flow and deposition of polydisperse granular materials is simulated through the magnetic diffusion limited aggregation (MDLA) model. The random walk undergone by an entity in the MDLA model is modified such that the trajectories are ballistic in nature, leading to a magnetically controlled...

We present results on Monte Carlo simulations for invasion percolation with trapping considering the presence of spatial size correlations, a problem which is relevant to multiphase flow in field scale of porous media. The correlations are generated through the dual site bond model,...

Replacements resulting from competition are ubiquitous phenomena in both nature and society. The evolution of a self-organized system is always a physical process substituting one type of components for another type of components. A logistic model of replacement dynamics has been proposed in...

A modified Vicsek–Szalay model is introduced. From this, experiments are performed in order to simulate the spatial morphology of the largest metropolitan area of México: a set of clusters formed by the Valle de México metropolitan area (VMMA), Puebla metropolitan area (PMA) and Toluca...

We consider a region bounded by two conductors held to a constant voltage bias, one of them with an irregular rough shape and the other being a flat one. The irregular profile can be either a curve with a formation rule or the result of a deposition process. The rough shape of the profile...

The fractal dimension (FD) is a widely used magnitude having a basic formulation in terms of the Hausdorff measure. However, there are a lot of practical definitions mostly used to compute the FD of a given system not yet having a mathematically rigorous approach. In this paper, we analyze these...

In this paper the loop-erased random walk on the finite pre-Sierpiński gasket is studied. It is proved that the scaling limit exists and is a continuous process. It is also shown that the path of the limiting process is almost surely self-avoiding, while having Hausdorff dimension strictly...

In this paper, we introduce a new measure of capital market efficiency. For its construction, we use the approaches of fractal dimension, Hurst exponent and entropy. The method is applied on 41 stock indices from the beginning of 2000 till the end of August 2011 and interesting results are found...