Journal of Statistical Mechanics: Theory and Experiment
Volume 2008
March 2008
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Sanjib Sabhapandit et al J. Stat. Mech. (2008) L03001 doi:10.1088/1742-5468/2008/03/L03001
Crowding at the front of marathon packs
FREE ARTICLESanjib Sabhapandit1, Satya N Majumdar1 and S Redner2
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| Figure 1. Distribution of all finishing times (smoothed over a 20-point range for visual clarity) for the Boston, Chicago, and New York marathons, 2000–2007. Notice the peaks at 3 h in all the data, the prominent peaks at 4 h for the Chicago and New York marathons, and the secondary peaks at 3:10, 3:20, and 3:30 for the Chicago marathon. The dashed curve shows the distribution of equation (4), with parameter values as given in the text. The inset shows the data in the range of 2:08–2:45. |
Figure 2. Distribution of the average time gap
gk between the kth and (k + 1)st finisher for: the US ( ) and the European ( + ) marathons cited in the text. For the US marathons the first 10 000 gaps are shown, while the first 100 gaps are shown for the European marathons. The dashed line has a slope of
–1, as given by equation (5). |
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Crowding at the front of marathon packs
Sanjib Sabhapandit et al J. Stat. Mech. (2008) L03001
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