The continuum percolation system is developed to model a random stock price process in this work. Recent empirical research has demonstrated various statistical features of stock price changes, the financial model aiming at understanding price fluctuations needs to define a mechanism for the...

We numerically investigate the electric potential distribution over a two-dimensional continuum percolation model between the electrodes. The model consists of overlapped conductive particles on the background with an infinitesimal conductivity. Using the finite difference method, we solve the...

Wireless multi-hop ad hoc communication networks represent an infrastructure-less and self-organized generalization of todays wireless cellular networks. Connectivity within such a network is an important issue. Continuum percolation and technology-driven mutations thereof allow to address this...

In this paper, we obtain moderate deviations for the graph distance in supercritical continuum percolation and the corresponding shape theorem. Using the moderate deviations, we get the fluctuation exponents for the geodesics, which are not yet obtained for lattice first passage percolation....

In this paper we present a computer study of the quantum dot (QD) nucleation probability with three possible models of particle interaction; Soft Core (SC), Hard Core (HC) and Hard Core/Soft Shell (HCSS) model. Computer analysis of the nucleation probability is performed on a 500 by 500 lattice...

We perform Monte Carlo simulations to determine the average excluded area 〈Aex〉 of randomly oriented squares, randomly oriented widthless sticks and aligned squares in two dimensions. We find significant differences between our results for randomly oriented squares and previous analytical...

Consider a sequence of independent Poisson point processes X1,X2,… with densities λ1,λ2,…, respectively, and connection functions g1,g2,… defined by gn(r)=g(nr), for r0 and for some integrable function g. The Poisson random connection model (Xn,λn,gn) is a random graph with vertex set...

Monte Carlo simulations were performed in order to determine the excess number of clusters b and the average density of clusters nc for the two-dimensional “Swiss cheese” continuum percolation model on a planar L×L system and on the surface of a sphere. The excess number of clusters for the...

During the last few years, a number of works in computer simulation have focused on the clustering and percolation properties of simple fluids based on an energetic connectivity criterion proposed long ago by T.L. Hill (J. Chem. Phys. 23 (1955) 617). This connectivity criterion appears to be the...