Emergence of self-similarity in football dynamics
Popular Physics
2014-02-20 v2 Adaptation and Self-Organizing Systems
Physics and Society
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.
Keywords
Cite
@article{arxiv.1402.0912,
title = {Emergence of self-similarity in football dynamics},
author = {Akifumi Kijima and Keiko Yokoyama and Hiroyuki Shima and Yuji Yamamoto},
journal= {arXiv preprint arXiv:1402.0912},
year = {2014}
}
Comments
Figures 1 and 2 are blurred due to file-size restriction. Sharply-defined images can be viewed in the final version published by European Physical Journal B