Upper bound on the occupation time in the simple exclusion process

We consider the occupation time variance in the asymmetric exclusion process. In the case where the mean m ≠ 0 (m is the mean hopping rate) and ρ = 1/2 (ρ is the filling probability for a state), we find that the variance is bounded above by O(t ^3/2 ). __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 156, No. 1, pp. 147–158, July, 2008.