Behavior of a second class particle in Hammersley's process
نویسندگان
چکیده
منابع مشابه
Behavior of a second class particle in Hammersley’s process
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 t...
متن کاملBehavior of a second class particle and its dual in Hammersley’s process
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 show that a second class particle and a dual second class particle touch with probab...
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Imagine that the particles in the system are each called either first class or second class. The evolution is the same as before, except that if a second-class particle attempts to go to a site occupied by a first-class particle, it is not allowed to do so, while if a first-class particle attempts to move to a site occupied by a second-class particle, the two particles exchange positions. In ot...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2006
ISSN: 1083-6489
DOI: 10.1214/ejp.v11-340