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LETTER

Crowding at the front of marathon packs

Sanjib Sabhapandit et al J. Stat. Mech. (2008) L03001   doi: 10.1088/1742-5468/2008/03/L03001  Help

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Sanjib Sabhapandit1, Satya N Majumdar1 and S Redner2
1 Laboratoire de Physique Théorique et Modèles Statistiques (UMR 8626 du CNRS), Université Paris-Sud, Bâtiment 100, 91405 Orsay Cedex, France
2 Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA
E-mail: sanjib.sabhapandit@u-psud.fr, majumdar@lptms.u-psud.fr and redner@bu.edu

Abstract. We study the crowding of near-extreme events in the time gaps between successive finishers in major international marathons. Naively, one might expect these gaps to become progressively larger for better-placing finishers. While such an increase does indeed occur from the middle of the finishing pack down to approximately 20th place, the gaps saturate for the first 10–20 finishers. We give a probabilistic account of this feature. However, the data suggest that the gaps have a weak maximum around the 10th place, a feature that seems to have a sociological origin.

Key words: stochastic processes; traffic and crowd dynamics

E-print number: 0802.1702
Cited: by
Refers: to

Received 13 February 2008, accepted for publication 3 March 2008
Published 18 March 2008

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