A. Asselah et Pd. Pra, SHARP ESTIMATES FOR THE OCCURRENCE TIME OF RARE EVENTS FOR SYMMETRICAL SIMPLE EXCLUSION, Stochastic processes and their applications, 71(2), 1997, pp. 259-273
We consider a symmetric simple exclusion process on Z(d) and obtain sh
arp estimates for the distribution of the first time the empirical den
sity in a large box exceeds a given value larger than the initial dens
ity. As a corollary, we characterize the distribution of the process a
t this first occurrence time. (C) 1997 Elsevier Science B.V.