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August, 1984 Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities
Th. Brox, H. Rost
Ann. Probab. 12(3): 742-759 (August, 1984). DOI: 10.1214/aop/1176993225


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).


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Th. Brox. H. Rost. "Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities." Ann. Probab. 12 (3) 742 - 759, August, 1984.


Published: August, 1984
First available in Project Euclid: 19 April 2007

zbMATH: 0546.60098
MathSciNet: MR744231
Digital Object Identifier: 10.1214/aop/1176993225

Primary: 60K35
Secondary: 80A20

Keywords: bulk diffusion coefficient , conserved quantities , Equilibrium fluctuations , field of local functions , Zero range jump process

Rights: Copyright © 1984 Institute of Mathematical Statistics

Vol.12 • No. 3 • August, 1984
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