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.
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     title = {Upper bound on the~occupation time in the~simple exclusion process},
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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/