We study quasi-stationary measures for conservative particle systems
in the in finite lattice. Existence of quasi-stationary measures is established
for a fairly general class of reversible systems. For the special cases of a
system of independent random walks and the symmetric simple exclusion process,
it is shown that qualitative features of quasi-stationary measures change
drastically with dimension.
@article{1015345770,
author = {Asselah, Amine and Dai Pra, Paolo},
title = {Quasi-Stationary measures for conservative dynamics in the
infinite lattice},
journal = {Ann. Probab.},
volume = {29},
number = {1},
year = {2001},
pages = { 1733-1754},
language = {en},
url = {http://dml.mathdoc.fr/item/1015345770}
}
Asselah, Amine; Dai Pra, Paolo. Quasi-Stationary measures for conservative dynamics in the
infinite lattice. Ann. Probab., Tome 29 (2001) no. 1, pp. 1733-1754. http://gdmltest.u-ga.fr/item/1015345770/