Consider a system of noninteracting particles moving at constant speeds in a Euclidean space. It is shown that, if at two or more epochs the velocities are independent of the positions and are independent and identically distributed, then the positions must be given by a Cox process of a very special structure.
Publié le : 1978-10-14
Classification:
Particle systems,
point and line processes,
Cox processes,
thinnings and displacements,
60K35,
60D05,
60G55
@article{1176995435,
author = {Kallenberg, Olav},
title = {On the Independence of Velocities in a System of Noninteracting Particles},
journal = {Ann. Probab.},
volume = {6},
number = {6},
year = {1978},
pages = { 885-890},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995435}
}
Kallenberg, Olav. On the Independence of Velocities in a System of Noninteracting Particles. Ann. Probab., Tome 6 (1978) no. 6, pp. 885-890. http://gdmltest.u-ga.fr/item/1176995435/