Emergence of self-similarity in football dynamics

Akifumi Kijima, Keiko Yokoyama, Hiroyuki Shima () and Yuji Yamamoto

The European Physical Journal B: Condensed Matter and Complex Systems, 2014, vol. 87, issue 2, 1-6

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

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1140/epjb/e2014-40987-5

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