relation: http://eprints.imtlucca.it/1495/
title: Weighted Networks as Randomly Reinforced Urn Processes
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 analyze weighted networks as randomly reinforced urn processes, in which the edge-total weights are determined by a reinforcement mechanism. We develop a new statistical test and a new procedure, based on it, to study the evolution of networks over time, detecting the “dominance”  of some edges with respect to the others and then assessing if a given instance of the network is taken at its steady state or not. Distance from the steady state can be considered as a measure of the relevance of the observed properties of the network. Our results are quite general, in the sense that they are not based on a particular probability distribution or functional form of the  random weights. Moreover, the proposed tool can be applied also to dense networks, which have received little attention by network community so far since they are often problematic. We apply our procedure in the context of the International Trade Network, determining a core of “dominant  edges”.
publisher: American Physical Society
date: 2013-02
type: Article
type: PeerReviewed
format: application/pdf
language: en
identifier: http://eprints.imtlucca.it/1495/1/PRE_Caldarelli_Chessa_Crimaldi_Pammolli_13.pdf
identifier:   Caldarelli, Guido and Chessa, Alessandro and Crimaldi, Irene and Pammolli, Fabio  Weighted Networks as Randomly Reinforced Urn Processes.  Physical Review E, 87 (2).   ISSN 1539-3755      (2013)  
relation: http://link.aps.org/doi/10.1103/PhysRevE.87.020106
relation: 10.1103/PhysRevE.87.020106