A network growth mechanism based on a two-step preferential rule is investigated as a model of network growth in which no global knowledge of the network is required. In the first filtering step a subset of fixed size m of existing nodes is randomly chosen. In the second step the preferential...

This paper examines a search model in which knowledge is created as rational, but poorly informed, innovators obtain new ideas from combinations of existing ideas. We assume that the productivity of an idea is stochastic and depends on the productivity of the parental ideas. Importantly, we...

We consider a kinetic equation approach to dynamical systems with finite memory, based upon a probabilistic approach given in Dorofeenko and Shorish (2004). This approach uses a master equation methodology to analytically model the dynamics of distributed systems with many heterogeneous agents,...

The main mechanisms that control the organization of multicellular tissues are still largely open. A commonly used tool to study basic control mechanisms are in vitro experiments in which the growth conditions can be widely varied. However, even in vitro experiments are not free from unknown or...

En este trabajo modelizamos mediante la ecuación master los flujos migratorios entre los estados de un sistema formado por varias regiones. El modelo nos permite conocer cuál es la evolución temporal de la distribución de probabilidad de la población del sistema. Distinguiendo entre...

The limit order book is a device for storing demand and effecting trades that is the primary mechanism for price formation in most modern financial markets. We study the limit order book under a random process model of order flow, using simulations and an analytic treatment based on a master...

We develop a theoretical framework for the stochastic thermodynamics of reactive systems. We show that the transition probabilities per unit time of reactive events must satisfy specific constraints, in order for stochastic approaches to lead to physically meaningful results in the macroscopic...

A time-reversal symmetry relation is established for out-of-equilibrium dilute or rarefied gases described by the fluctuating Boltzmann equation. The relation is obtained from the associated coarse-grained master equation ruling the random numbers of particles in cells of given position and...

The aim of this paper is to examine thoroughly the dynamics of the diffusion process of mobile particles with repulsive interactions in inhomogeneou systems, and in the intercalation compounds such as LixTiS2 which presents a triangular structure. The study is done by using the lattice gas model...