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PageRank equation and localization in the WWW

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)

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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.

Item Type: Article
Identification Number: 10.1209/0295-5075/88/48002
Uncontrolled 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
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 26 Jan 2012 10:49
Last Modified: 20 Nov 2013 15:59
URI: http://eprints.imtlucca.it/id/eprint/1083

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