?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F1230%2F&rft.title=The+Evolution+of+Complex+Networks%3A+A+New+Framework&rft.creator=Caldarelli%2C+Guido&rft.creator=Chessa%2C+Alessandro&rft.creator=Crimaldi%2C+Irene&rft.creator=Pammolli%2C+Fabio&rft.subject=H+Social+Sciences+(General)&rft.subject=HA+Statistics&rft.subject=HB+Economic+Theory&rft.subject=QA+Mathematics&rft.subject=QC+Physics&rft.description=We+introduce+a+new+framework+for+the+analysis+of+the+dynamics+of+networks%2C+based+on+randomly+reinforced+urn+(RRU)+processes%2C+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+%22dominant+edges%22+that+control+a+major+share+of+the+total+weight+of+the+network.+Furthermore%2C+we+introduce+a+new+statistical+procedure+to+study+the+evolution+of+networks+over+time%2C+assessing+if+a+given+instance+of+the+nework+is+taken+at+its+steady+state+or+not.+Our+results+are+quite+general%2C+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%2C+showing+the+existence+of+a+core+of+dominant+links+and+determining+its+size.+&rft.publisher=arXiv&rft.date=2012-03&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.identifier=++Caldarelli%2C+Guido+and+Chessa%2C+Alessandro+and+Crimaldi%2C+Irene+and+Pammolli%2C+Fabio++The+Evolution+of+Complex+Networks%3A+A+New+Framework.++Working+Paper+++arXiv+++++++(Submitted)+++&rft.relation=http%3A%2F%2Farxiv.org%2Fabs%2F1203.1349