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Crowding at the front of marathon packs

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Sanjib Sabhapandit1, Satya N Majumdar1 and S Redner2

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LETTER

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.


Keywords

stochastic processes

traffic and crowd dynamics

 

E-print Number: 0802.1702

Cited: by |

Refers: to

PACS

01.80.+b Physics of sports

02.50.Cw Probability theory

89.65.-s Social and economic systems

MSC

62P25 Applications to social sciences

60Bxx Probability theory on algebraic and topological structures

91Dxx Mathematical sociology (including anthropology)

Subjects

Computational physics

Education and communication

Statistical physics and nonlinear systems

Dates

Issue 03 (March 2008)

Received 13 February 2008, accepted for publication 3 March 2008

Published 18 March 2008



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