Upper bound on the~occupation time in the~simple exclusion process
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 147-158
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We consider the occupation time variance in the asymmetric exclusion process. In the case where the mean $m\ne0$ ($m$ is the mean hopping rate) and $\rho=1/2$ ($\rho$ is the filling probability for a state), we find that the variance is bounded above by $O(t^{3/2})$.
Mots-clés :
exclusion process, variant formula, norm.
@article{TMF_2008_156_1_a8,
author = {Li Zhimin and Mao Mingzhi},
title = {Upper bound on the~occupation time in the~simple exclusion process},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {147--158},
publisher = {mathdoc},
volume = {156},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a8/}
}
TY - JOUR AU - Li Zhimin AU - Mao Mingzhi TI - Upper bound on the~occupation time in the~simple exclusion process JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2008 SP - 147 EP - 158 VL - 156 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a8/ LA - ru ID - TMF_2008_156_1_a8 ER -
Li Zhimin; Mao Mingzhi. Upper bound on the~occupation time in the~simple exclusion process. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 147-158. http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a8/