eprintid: 1083
rev_number: 12
eprint_status: archive
userid: 6
dir: disk0/00/00/10/83
datestamp: 2012-01-26 10:49:27
lastmod: 2013-11-20 15:59:36
status_changed: 2013-02-20 08:38:29
type: article
metadata_visibility: show
creators_name: Perra, Nicola
creators_name: Zlatic, Vinko
creators_name: Chessa, Alessandro
creators_name: Conti, Claudio
creators_name: Donato, Debora
creators_name: Caldarelli, Guido
creators_id: 
creators_id: 
creators_id: alessandro.chessa@imtlucca.it
creators_id: 
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
title: PageRank equation and localization in the WWW
ispublished: pub
subjects: QA75
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS 71.23.-k Electronic structure of disordered solids;    89.75.Fb Structures and organization in complex systems;  05.10.-a Computational methods in statistical physics and nonlinear dynamics

abstract: 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.
date: 2009
date_type: published
publication: EPL (Europhysics Letters)
volume: 88
number: 4
publisher: IOPscience
pagerange: 48002
id_number: doi:10.1209/0295-5075/88/48002
refereed: TRUE
issn: 0295-5075      
official_url: http://dx.doi.org/10.1209/0295-5075/88/48002
citation:   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)