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Wiener Soccer and Its Generalization

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Wiener Soccer and Its Generalization
2.	Creator	Author's name, affiliation, country	Yuliy Baryshnikov; University of Osnabrueck
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Wiener Process, Brownian Motion.
3.	Subject	Subject classification	60J35, 60J38.
4.	Description	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.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	1997-11-17
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/987
10.	Identifier	Digital Object Identifier	10.1214/ECP.v3-987
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 3
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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