A purely algebraic solution is suggested to one-dimensional death-birth master equations. The method came from supersymmetric quantum mechanics and exploits some hidden symmetries of the master equation. In some cases the proposed approach is more effective than the traditional ones, which is...

We consider an exactly soluble model of a set of coupled harmonic oscillators, which was presented in a previous work. We show numerical results for the time evolution of the main dynamical quantities and compare them with analytical results.

A Mori-type equation for the lattice concentration of an interacting lattice gas is constructed on the basis of the master equation in the framework of the nonequilibrium statistical ensemble method due to Zubarev. The general expression for the diffusion coefficient, which takes into account...

A master equation approach to the numerical solution of option pricing models is developed. The basic idea of the approach is to consider the Black–Scholes equation as the macroscopic equation of an underlying mesoscopic stochastic option price variable. The dynamics of the latter is...

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...

In recent studies, it has been shown that cooperation can been improved when the population of selfish players is located on a heterogenous network. However, the theoretical analysis for the enhancement of cooperation on a heterogenous network is still short. In this work, we first model a...