8 research outputs found

    Schroedinger-like PageRank equation and localization in the WWW

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    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.Comment: 5 page

    PSA 2016

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    These preprints were automatically compiled into a PDF from the collection of papers deposited in PhilSci-Archive in conjunction with the PSA 2016

    UMSL Bulletin 2015-2016

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    https://irl.umsl.edu/bulletin/1000/thumbnail.jp

    UMSL Bulletin 2017-2018

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    The University Bulletin/Course Catalog 2017-2018 Edition.https://irl.umsl.edu/bulletin/1081/thumbnail.jp

    UMSL Bulletin 2018-2019

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    The University Bulletin/Course Catalog 2018-2019 Edition.https://irl.umsl.edu/bulletin/1082/thumbnail.jp

    UMSL Bulletin 2016-2017

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    https://irl.umsl.edu/bulletin/1080/thumbnail.jp
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