Degree distribution of position-dependent ball-passing networks in football games

Takuma Narizuka, Ken Yamamoto, Yoshihiro Yamazaki

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    Abstract

    We propose a simple stochastic model describing the position-dependent ball-passing network in football (soccer) games. In this network, a player in a certain area in a divided field is a node, and a pass between two nodes corresponds to an edge. Our stochastic process model is characterized by the consecutive choice of a node depending on its intrinsic fitness. We derive an explicit expression for the degree distribution and find that the derived distribution reproduces that for actual data reasonably well.

    Original languageEnglish
    Article number084003
    JournalJournal of the Physical Society of Japan
    Volume84
    Issue number8
    DOIs
    Publication statusPublished - 2015 Aug 15

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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