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Physical Review E
We investigate the time evolution of lead changes within individual games of competitive team sports. Exploiting ideas from the theory of random walks, the number of lead changes within a single game follows a Gaussian distribution. We show that the probability that the last lead change and the time of the largest lead size are governed by the same arcsine law, a bimodal distribution that diverges at the start and at the end of the game. We also determine the probability that a given lead isdoi:10.1103/physreve.91.062815 pmid:26172762 fatcat:xdzbcsewqnhpph426k7tt5g2ui