MODELLING SEGREGATION THROUGH CELLULAR AUTOMATA: A THEORETICAL ANSWER

This paper is a note in which we prove that Cellular Automata are suitable tools to model multi-agent interactive procedures. In particular, we apply the argument to validate results from simulation tools obtained for the classical model of segregation of Thomas Schelling (1971a).Cellular Automata, segregation, local information

El papel de las microempresas en el desarrollo económico regional: las redes de cooperación empresarial en España

El presente trabajo pretende analizar las características de las microempresas así como la formación de redes empresariales en España, en aras de intentar demostrar que la cooperación de las microempresas, mediante de estas redes, puede contribuir al desarrollo económico del territorio donde se ubiquen, mediante la modernización, la generación de valor añadido y la creación empleo. Se ha realizado un análisis descriptivo sobre la existencia de redes de microempresas en España para posteriormente analizar las relaciones existentes entre la cooperación mediante redes y el efecto que produce en variables como la actualización tecnológica de las microempresas, el ámbito de actividad, el crecimiento y el desarrollo regional.This paper aims to analyze the characteristics of micro-business as well as to explore how business networks are built up in Spain. As a result, it is proved that cooperation among such companies -through business networks- may contribute to the economic development of the geographical area where they are located due to the generation of value added and job creation. It has made a descriptive analysis of the existence of micro-networks in Spain and later analyzes the relationship between cooperation through networking and the effect of variables such as technological upgrading of micro-business, scope of activity, growth and regional development.Ils résument que Le travail présent cherche à analyser les caractéristiques des microentreprises ainsi que la formation de réseaux patronaux en Espagne, en l'honneur d'essayer de démontrer que la coopération des microentreprises, grâce à ces réseaux, il peut participer au développement économique du territoire où ils se trouvent, grâce à la modernisation, la génération de valeur ajoutée et la création a employé. Une analyse descriptive a été réalisée sur l'existence de réseaux de microentreprises en Espagne pour par la suite analyser les relations existantes entre la coopération grâce à des réseaux et l'effet qu'il produit dans variables comme l'actualisation technologique des microentreprises, l'enceinte d'activité, la croissance et le développement régional

Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems

AbstractThe determination of solutions of the Jacobi partial differential equations (PDEs) for finite-dimensional Poisson systems is considered. In particular, a novel procedure for the construction of solution families is developed. Such a procedure is based on the use of time reparametrizations preserving the existence of a Poisson structure. As a result, a method which is valid for arbitrary values of the dimension and the rank of the Poisson structure under consideration is obtained. In this article two main families of time reparametrizations of this kind are characterized. In addition, these results lead to a novel application which is also developed, namely the global and constructive determination of the Darboux canonical form for Poisson systems of arbitrary dimension and rank two, thus improving the local result provided by Darboux' theorem for such a case