relation: http://eprints.imtlucca.it/1230/
title: The Evolution of Complex Networks: A New Framework
creator: Caldarelli, Guido
creator: Chessa, Alessandro
creator: Crimaldi, Irene
creator: Pammolli, Fabio
subject: H Social Sciences (General)
subject: HA Statistics
subject: HB Economic Theory
subject: QA Mathematics
subject: QC Physics
description: We introduce a new framework for the analysis of the dynamics of networks, based on randomly reinforced urn (RRU) processes, in which the weight of the edges is determined by a reinforcement mechanism. We rigorously explain the empirical evidence that in many real networks there is a subset of "dominant edges" that control a major share of the total weight of the network. Furthermore, we introduce a new statistical procedure to study the evolution of networks over time, assessing if a given instance of the nework is taken at its steady state or not. Our results are quite general, since they are not based on a particular probability distribution or functional form of the weights. We test our model in the context of the International Trade Network, showing the existence of a core of dominant links and determining its size. 
publisher: arXiv
date: 2012-03
type: Working Paper
type: NonPeerReviewed
identifier:   Caldarelli, Guido and Chessa, Alessandro and Crimaldi, Irene and Pammolli, Fabio  The Evolution of Complex Networks: A New Framework.  Working Paper   arXiv       (Submitted)   
relation: http://arxiv.org/abs/1203.1349