Blocking measures for asymmetric exclusion processes via coupling
Ferrari, P. A. ; Lebowitz, J. L. ; Speer, E.
arXiv, 0002193 / Harvested from arXiv
Text on arXiv
We give sufficient conditions on the rates of two asymmetric exclusion processes such that the existence of a blocking invariant measure for the first implies the existence of such a measure for the second. The main tool is a coupling between the two processes under which the first dominates the second in an appropriate sense. In an appendix we construct a class of processes for which the existence of a blocking measure can be proven directly; these are candidates for comparison processes in applications of the main result.
Publié le : 2000-02-23
Classification:  Mathematics - Probability,  Mathematical Physics,  60K35 60D05, Secondary: 60G55 
@article{0002193,
     author = {Ferrari, P. A. and Lebowitz, J. L. and Speer, E.},
     title = {Blocking measures for asymmetric exclusion processes via coupling},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002193}
}

Ferrari, P. A.; Lebowitz, J. L.; Speer, E. Blocking measures for asymmetric exclusion processes via coupling. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002193/