TY  - RPRT
Y1  - 2012/03//
A1  - Caldarelli, Guido
A1  - Chessa, Alessandro
A1  - Crimaldi, Irene
A1  - Pammolli, Fabio
PB  - arXiv
EP  - 4
UR  - http://arxiv.org/abs/1203.1349
N2  - 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. 
M1  - working_paper
AV  - none
TI  - The Evolution of Complex Networks: A New Framework
ID  - eprints1230
ER  -