| Título: | Wiener Soccer and Its Generalization |
| Autores: | Baryshnikov, Yuliy; University of Osnabrueck |
| Fecha: | 1998-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Wiener Process, Brownian Motion. 60J35, 60J38. |
| Descripción: | 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. |
| Idioma: | No aplica |
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