eprintid: 1495
rev_number: 11
eprint_status: archive
userid: 36
dir: disk0/00/00/14/95
datestamp: 2013-03-04 08:37:55
lastmod: 2016-04-07 09:57:58
status_changed: 2013-03-04 08:37:55
type: article
succeeds: 1488
metadata_visibility: show
creators_name: Caldarelli, Guido
creators_name: Chessa, Alessandro
creators_name: Crimaldi, Irene
creators_name: Pammolli, Fabio
creators_id: guido.caldarelli@imtlucca.it
creators_id: alessandro.chessa@imtlucca.it
creators_id: irene.crimaldi@imtlucca.it
creators_id: f.pammolli@imtlucca.it
title: Weighted Networks as Randomly Reinforced Urn Processes
ispublished: pub
subjects: H1
subjects: HA
subjects: HB
subjects: QA
subjects: QC
divisions: EIC
full_text_status: public
monograph_type: technical_report
keywords: networks, urn models
note: © 2013 American Physical Society
abstract: 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”.
date: 2013-02
date_type: published
publication: Physical Review E
volume: 87
number: 2
publisher: American Physical Society
place_of_pub: Lucca
pages: 4
id_number: 10.1103/PhysRevE.87.020106
institution: IMT Institute for Advanced Studies Lucca
refereed: TRUE
issn: 1539-3755
official_url: http://link.aps.org/doi/10.1103/PhysRevE.87.020106
projects: EU FET Open Project “FOC” Nr. 255987
projects: EU FET project MULTIPLEX Nr. 317532
projects: PNR National Project "CRISIS-Lab"
citation:   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)  
document_url: http://eprints.imtlucca.it/1495/1/PRE_Caldarelli_Chessa_Crimaldi_Pammolli_13.pdf