relation: http://eprints.imtlucca.it/1083/
title: PageRank equation and localization in the WWW
creator: Perra, Nicola
creator: Zlatic, Vinko
creator: Chessa, Alessandro
creator: Conti, Claudio
creator: Donato, Debora
creator: Caldarelli, Guido
subject: QA75 Electronic computers. Computer science
subject: QC Physics
description: We show that the PageRank in a network can be represented as the solution of a differential equation discretized over a directed graph. By exploiting a formal relationship with the time-independent Schrödinger equation it is possible to interpret hub formation and related phenomena as a wave-like localization process in the presence of disorder and trapping potentials. The result opens new perspectives in the physics of networks with interdisciplinary connections and opens the way to the employment of various mathematical techniques to the analysis of self-organization in structured systems. Applications are envisaged in the World-Wide Web, traffic, social and biological networks.
publisher: IOPscience
date: 2009
type: Article
type: PeerReviewed
identifier:   Perra, Nicola and Zlatic, Vinko and Chessa, Alessandro and Conti, Claudio and Donato, Debora and Caldarelli, Guido  PageRank equation and localization in the WWW.  EPL (Europhysics Letters), 88 (4).  p. 48002.  ISSN 0295-5075       (2009)  
relation: http://dx.doi.org/10.1209/0295-5075/88/48002
relation: doi:10.1209/0295-5075/88/48002