Wiener soccer and itsgeneralization

Yuliy Baryshnikov

研究成果: Contribution to journalArticle査読

抄録

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.

本文言語英語
ページ(範囲)1-11
ページ数11
ジャーナルElectronic Communications in Probability
3
DOI
出版ステータス出版済み - 1 1 1998

All Science Journal Classification (ASJC) codes

  • 統計学および確率
  • 統計学、確率および不確実性

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