Existence and uniqueness is proved for Spitzer's zero range interaction process. It is then shown that a certain class of measures on the configuration space is invariant for this process.
Publié le : 1973-04-14
Classification:
Infinite particle systems,
interacting particle systems,
semigroups of linear transformations,
60K35,
60J35
@article{1176996977,
author = {Liggett, Thomas M.},
title = {An Infinite Particle System with Zero Range Interactions},
journal = {Ann. Probab.},
volume = {1},
number = {5},
year = {1973},
pages = { 240-253},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996977}
}
Liggett, Thomas M. An Infinite Particle System with Zero Range Interactions. Ann. Probab., Tome 1 (1973) no. 5, pp. 240-253. http://gdmltest.u-ga.fr/item/1176996977/