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Emergence of self-similarity in football dynamics

Author

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  • Akifumi Kijima
  • Keiko Yokoyama
  • Hiroyuki Shima
  • Yuji Yamamoto

Abstract

The multiplayer dynamics of a football game is analyzed to unveil self-similarities in the time evolution of player and ball positioning. Temporal fluctuations in both the team-turf boundary and the ball location are uncovered to follow the rules of fractional Brownian motion with a Hurst exponent of H ~ 0.7. The persistence time below which self-similarity holds is found to be several tens of seconds, implying a characteristic time scale that governs far-from-equilibrium motion on a playing field. Copyright The Author(s) 2014

Suggested Citation

  • Akifumi Kijima & Keiko Yokoyama & Hiroyuki Shima & Yuji Yamamoto, 2014. "Emergence of self-similarity in football dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(2), pages 1-6, February.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:2:p:1-6:10.1140/epjb/e2014-40987-5
    DOI: 10.1140/epjb/e2014-40987-5
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    Cited by:

    1. Kosuke Toda & Masakiyo Teranishi & Keisuke Kushiro & Keisuke Fujii, 2022. "Evaluation of soccer team defense based on prediction models of ball recovery and being attacked: A pilot study," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-14, January.

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    Keywords

    Statistical and Nonlinear Physics;

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