@article{oai:nagoya.repo.nii.ac.jp:00017307, author = {Kijima, Akifumi and Yokoyama, Keiko and Shima, Hiroyuki and Yamamoto, Yuji}, journal = {The European Physical Journal B: Condensed Matter and Complex Systems}, month = {Feb}, note = {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.}, pages = {41--41}, title = {Emergence of self-similarity in football dynamics}, volume = {87}, year = {2014} }