?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F2407%2F&rft.title=Schroedinger-like+PageRank+equation+and+localization+in+the+WWW&rft.creator=Perra%2C+Nicola&rft.creator=Zlatic%2C+Vinko&rft.creator=Chessa%2C+Alessandro&rft.creator=Conti%2C+Claudio&rft.creator=Donato%2C+Debora&rft.creator=Caldarelli%2C+Guido&rft.subject=QA75+Electronic+computers.+Computer+science&rft.subject=QC+Physics&rft.description=The+WorldWide+Web+is+one+of+the+most+important+communication+systems+we+use+in+our+everyday+life.+Despite+its+central+role%2C+the+growth+and+the+development+of+the+WWW+is+not+controlled+by+any+central+authority.+This+situation+has+created+a+huge+ensemble+of+connections+whose+complexity+can+be+fruitfully+described+and+quantified+by+network+theory.+One+important+application+that+allows+to+sort+out+the+information+present+in+these+connections+is+given+by+the+PageRank+alghorithm.+Computation+of+this+quantity+is+usually+made+iteratively+with+a+large+use+of+computational+time.+In+this+paper+we+show+that+the+PageRank+can+be+expressed+in+terms+of+a+wave+function+obeying+a+Schroedinger-like+equation.+In+particular+the+topological+disorder+given+by+the+unbalance+of+outgoing+and+ingoing+links+between+pages%2C+induces+wave+function+and+potential+structuring.+This+allows+to+directly+localize+the+pages+with+the+largest+score.+Through+this+new+representation+we+can+now+compute+the+PageRank+without+iterative+techniques.+For+most+of+the+cases+of+interest+our+method+is+faster+than+the+original+one.+Our+results+also+clarify+the+role+of+topology+in+the+diffusion+of+information+within+complex+networks.+The+whole+approach+opens+the+possibility+to+novel+techniques+inspired+by+quantum+physics+for+the+analysis+of+the+WWW+properties.+&rft.publisher=ArXiv&rft.date=2008-07&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.identifier=++Perra%2C+Nicola+and+Zlatic%2C+Vinko+and+Chessa%2C+Alessandro+and+Conti%2C+Claudio+and+Donato%2C+Debora+and+Caldarelli%2C+Guido++Schroedinger-like+PageRank+equation+and+localization+in+the+WWW.++Working+Paper++%23+%2F2008++++ArXiv+++++++(Unpublished)+++&rft.relation=http%3A%2F%2Farxiv.org%2Fabs%2F0807.4325