The Annals of Probability
- Ann. Probab.
- Volume 12, Number 3 (1984), 742-759.
Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities
In the particular model of a zero range jump process in equilibrium, the asymptotic covariances of the--spatially and temporally rescaled--particle number field are computed. The main tool in that computation is a general theorem, whose validity is established for the given class of processes, which states that the asymptotic behaviour of the covariances of any field corresponding to a local function is determined by a suitable projection of that field on the linear (here one-dimensional) space spanned by the fields of conserved quantities (here: the particle number).
Ann. Probab., Volume 12, Number 3 (1984), 742-759.
First available in Project Euclid: 19 April 2007
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Brox, Th.; Rost, H. Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities. Ann. Probab. 12 (1984), no. 3, 742--759. doi:10.1214/aop/1176993225. https://projecteuclid.org/euclid.aop/1176993225