Anomalous diffusion and longrange correlations in the score evolution of the game of cricket
Abstract
We investigate the time evolution of the scores of the second most popular sport in the world: the game of cricket. By analyzing, event by event, the scores of more than 2000 matches, we point out that the score dynamics is an anomalous diffusive process. Our analysis reveals that the variance of the process is described by a powerlaw dependence with a superdiffusive exponent, that the scores are statistically selfsimilar following a universal Gaussian distribution, and that there are longrange correlations in the score evolution. We employ a generalized Langevin equation with a powerlaw correlated noise that describes all the empirical findings very well. These observations suggest that competition among agents may be a mechanism leading to anomalous diffusion and longrange correlation.
 Publication:

Physical Review E
 Pub Date:
 August 2012
 DOI:
 10.1103/PhysRevE.86.022102
 arXiv:
 arXiv:1208.1204
 Bibcode:
 2012PhRvE..86b2102R
 Keywords:

 02.50.r;
 05.45.Tp;
 89.20.a;
 Probability theory stochastic processes and statistics;
 Time series analysis;
 Interdisciplinary applications of physics;
 Physics  Data Analysis;
 Statistics and Probability;
 Condensed Matter  Statistical Mechanics
 EPrint:
 Accepted for Publication in Physical Review E