Behavior of a second class particle in Hammersley's process

Simple item page
dc.creatorCator, Eric
dc.creatorDobrynin, Sergei
dc.date2006-05-08
dc.date.accessioned2026-07-07T07:14:01Z
dc.date.available2026-07-07T07:14:01Z
dc.descriptionIn 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.
dc.description15 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0605199
dc.identifierhttp://arxiv.org/abs/math/0605199
dc.identifierEJP 2006, Vol. 11, 670-685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112702
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60C05; 60K35
dc.titleBehavior of a second class particle in Hammersley's process
dc.typetext

Files

Collections

arXiv