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Behavior of a second class particle in Hammersley's process

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Behavior of a second class particle in Hammersley's process
2.	Creator	Author's name, affiliation, country	Eric Cator; Delft University of Technology
2.	Creator	Author's name, affiliation, country	Sergei Dobrynin; Delft University of Technology
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Hammersley's process; second class particles; rarefaction fan
3.	Subject	Subject classification	60C05; 60K35; 60F05
4.	Description	Abstract	In the case of a rarefaction fan in a non-stationary Hammersley process, we explicitly calculate the asymptotic behavior of the process as we move out along a ray, and the asymptotic distribution of the angle within the rarefaction fan of a second class particle and a dual second class particle. Furthermore, we consider a stationary Hammersley process and use the previous results to show that trajectories of a second class particle and a dual second class particles touch with probability one, and we give some information on the area enclosed by the two trajectories, up until the first intersection point. This is linked to the area of influence of an added Poisson point in the plane.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	NWO (Netherlands Organization for Scientific Research)
7.	Date	(YYYY-MM-DD)	2006-08-07
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/340
10.	Identifier	Digital Object Identifier	10.1214/EJP.v11-340
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 11
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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