WIENER SOCCER AND ITS GENERALIZATION

Autor(en): Baryshnikov, Yuliy
Stichwörter: Mathematics; Statistics & Probability
Erscheinungsdatum: 1998
Herausgeber: UNIV WASHINGTON, DEPT MATHEMATICS
Journal: ELECTRONIC COMMUNICATIONS IN PROBABILITY
Volumen: 3
Startseite: 1
Seitenende: 11
Zusammenfassung: 
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.
ISSN: 1083589X

Show full item record

Google ScholarTM

Check