We propose a new ‘hedged’ Monte-Carlo (HMC) method to price financial derivatives, which allows to determine simultaneously the optimal hedge. The inclusion of the optimal hedging strategy allows one to reduce the financial risk associated with option trading, and for the very same reason...

For a decade, a new theoretical movement called “econophysics” has been initiated by some physicists who began to publish articles devoted to the study of economic and financial phenomena. Since then, econophysicists have written a very prolific literature about the way of characterizing the...

The capability of manipulating single dopant atoms in semiconductor materials, with atomic precision, has given birth to a new branch of electronics known as solotronics (solitary dopant optoelectronics). While experiments are advancing rapidly, the theoretical comprehension of quantum phenomena...

In this paper, the adsorption of interacting binary mixtures on square lattices has been studied. By using Monte Carlo simulation and finite-size scaling analysis, the connection between the surface ordered phases and the percolating properties of the adsorbed phase has been investigated. A rich...

We study the evolution of a Gaussian wave packet in the presence of the ordered and disordered arrays of dopants, described by means of Coulombic potentials. As a first step, we investigate the dynamics of the packet in three different ordered configurations consisting of two, three and...

The site percolation problem on square lattices whose sites are grouped in two types of energetically different patches is studied. Several lattices formed by collections of either randomly or orderly localized and no overlapped patches of different sizes are generated. The system is...

The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D ferromagnetic Ising model on 3D Voronoi–Delauney lattices. It is assumed that the coupling factor J varies with the distance r between the first neighbors as J(r)∝e−ar, with a≥0. The...

A Monte Carlo computer simulation model is presented to study the evolution of stock price and the distribution of price fluctuation. The resistance is described by an elastic energy Ee=e·x2 resulting from the price deviation x from an initial value and the momentum trading by the potential...

In this paper, a simple (2+1) solid-on-solid model of the epitaxial films growth based on random deposition followed by breaking particle–particle lateral bonds and particles surface diffusion is introduced. The influence of the critical number of the particle–particle lateral bonds z and...

The percolation problem of interacting particles on square lattices with two kinds of energetically different sites is studied. Square lattices formed by collections of either randomly or orderly distributed sites are generated. The system is characterized by two parameters, namely, the...