We prove a strong law of large numbers for the location of the second class particle in a totally asymmetric exclusion process when the process is started initially from a decreasing shock. This completes a study initiated in Ferrari and Kipnis [Ann. Inst. H. Poincaré Probab. Statist. 13 (1995) 143–154].
Publié le : 2005-05-14
Classification:
Totally asymmetric exclusion,
second class particle,
rarefaction fan,
Seppäläinen’s variational formula,
concentration inequalities,
last passage percolation,
60K35,
82C22
@article{1115137974,
author = {Mountford, Thomas and Guiol, Herv\'e},
title = {The motion of a second class particle for the tasep starting from a decreasing shock profile},
journal = {Ann. Appl. Probab.},
volume = {15},
number = {1A},
year = {2005},
pages = { 1227-1259},
language = {en},
url = {http://dml.mathdoc.fr/item/1115137974}
}
Mountford, Thomas; Guiol, Hervé. The motion of a second class particle for the tasep starting from a decreasing shock profile. Ann. Appl. Probab., Tome 15 (2005) no. 1A, pp. 1227-1259. http://gdmltest.u-ga.fr/item/1115137974/