@article{ECP987,
author = {Yuliy Baryshnikov},
title = {Wiener Soccer and Its Generalization},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {3},
year = {1997},
keywords = {Wiener Process, Brownian Motion.},
abstract = {The trajectory of the ball in a soccer game is modelled by the Brownian motion on a cylinder, subject to elastic reflections at the boundary points (as proposed in [KPY]). The score is then the number of windings of the trajectory around the cylinder. We consider a generalization of this model to higher genus, prove asymptotic normality of the score and derive the covariance matrix. Further, we investigate the inverse problem: to what extent the underlying geometry can be reconstructed from the asymptotic score.},
pages = {no. 1, 1-11},
issn = {1083-589X},
doi = {10.1214/ECP.v3-987},
url = {http://ecp.ejpecp.org/article/view/987}}