Perra, Nicola and Zlatic, Vinko and Chessa, Alessandro and Conti, Claudio and Donato, Debora and Caldarelli, Guido Schroedinger-like PageRank equation and localization in the WWW. Working Paper # /2008 ArXiv (Unpublished)
Full text not available from this repository.Abstract
The WorldWide Web is one of the most important communication systems we use in our everyday life. Despite its central role, 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, 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.
| Item Type: | Working Paper (Working Paper) |
|---|---|
| Uncontrolled Keywords: | PACS numbers: 71.23.-k,05.10.-a,89.75.Fb Keywords: Wave localization, Complex Networks |
| 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: | 10 Dec 2014 14:41 |
| Last Modified: | 10 Dec 2014 14:41 |
| URI: | http://eprints.imtlucca.it/id/eprint/2407 |
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