eprintid: 1488
rev_number: 5
eprint_status: archive
userid: 36
dir: disk0/00/00/14/88
datestamp: 2013-02-21 14:43:20
lastmod: 2013-02-21 14:43:20
status_changed: 2013-02-21 14:43:20
type: article
succeeds: 1230
metadata_visibility: no_search
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: inpress
subjects: H1
subjects: HA
subjects: HB
subjects: QA
subjects: QC
divisions: EIC
full_text_status: none
monograph_type: technical_report
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
publication: Physical Review E
publisher: American Physical Society
place_of_pub: Lucca
pages: 4
institution: IMT Institute for Advanced Studies Lucca
refereed: TRUE
issn: 1539-3755
official_url: http://pre.aps.org/accepted/1d079Yc0D221223a300e80d727058a1d87346f0c4
citation:   Caldarelli, Guido and Chessa, Alessandro and Crimaldi, Irene and Pammolli, Fabio  Weighted Networks as Randomly Reinforced Urn Processes.  Physical Review E.   ISSN 1539-3755    (In Press)   (2013)