Some properties of k-step exclusion processes
Guiol, Hervé
HAL, hal-00273547 / Harvested from HAL
Text on HAL
We introduce k-step exclusion processes as generalizations of the simple exclusion process. We state their main equilibrium properties when the underlying stochastic matrix corresponds to a random walk or is positive recurrent and reversible. Finally, we prove laws of large numbers for tagged and second-class particles.
Publié le : 1999-02-01
Classification:  interacting particle systems,  invariant measures,  tagged particle,  second-class particle,  exclusion process,  k-step exclusion process,  MCS : 60K35 ; 82C22,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00273547,
     author = {Guiol, Herv\'e},
     title = {Some properties of k-step exclusion processes},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00273547}
}

Guiol, Hervé. Some properties of k-step exclusion processes. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00273547/