This article aims at a new approach for a known fundamental result: barter or trade increases economic value. It successfully bridges the gap between the theory of value and the exchange process attached to the transition from endowments to the equilibrium in the core and contract curve. First,...

The idealized general model of aggregate growth is considered on the basis of the simple additive rules that correspond to a one-step aggregation process. The two idealized cases were analytically investigated and simulated by the Monte Carlo method in the Desktop Grid distributed computing...

In complex networks such as computer and information networks, social networks or biological networks a community structure is a common and important property. Community detection in complex networks has attracted a lot of attention in recent years. Community detection is the problem of finding...

The general relationship between an arbitrary frequency distribution and the expected value of the frequency distributions of its samples is discussed. A wide set of measurable quantities (“invariant moments”) whose expected value does not in general depend on the size of the sample is...

We propose here a network growth model which we term Contact Arrested Propagation (CAP). One representation of the CAP model comprises a set of two-dimensional line segments on a lattice, propagating independently at constant speed in both directions until they collide. The generic form of the...

Analytical expression for modeling water adsorption isotherms of food or agricultural products is developed using the statistical mechanics formalism. The model developed in this paper is further used to fit and interpret the isotherms of four varieties of Tunisian olive leaves called...

Amphipathic α-helical peptides often exhibit antimicrobial or antiviral properties. Adsorption of such peptides at a lipid membrane may result in pore formation. Current phenomenological models of the latter process imply that the peptide–peptide lateral interaction is repulsive and that the...

We report on the existing connection between power-law distributions and allometries. As it was first reported in Gomez-Lievano et al. (2012) for the relationship between homicides and population, when these urban indicators present asymptotic power-law distributions, they can also display...

We study the dynamics of a three-spine alpha-helical protein chain with quintic non-linearity. The dynamics is found to be governed by a perturbed three-coupled non-linear Schrödinger (NLS) equation. To investigate the solitonic aspects, we identify a completely integrable three-coupled...

We study the damage spreading phenomena in two different ways in an opinion dynamics model introduced recently. This kinetic exchange type model is characterized by a fraction q of negative interactions and shows the presence of an order–disorder transition at qc. In the traditional method,...