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April, 1986 Asymptotic Equivalence of Fluctuation Fields for Reversible Exclusion Processes with Speed Change
A. De Masi, E. Presutti, H. Spohn, W. D. Wick
Ann. Probab. 14(2): 409-423 (April, 1986). DOI: 10.1214/aop/1176992524
Abstract

We consider stationary, reversible exclusion processes with speed change and prove that for sufficiently small interaction the fluctuation fields constructed from local functions become proportional to the density fluctuation field when averaged over suitably large space-time regions. If the exclusion process is of gradient type, this result implies that the density fluctuation field converges to an infinite dimensional Ornstein-Uhlenbeck process.

Masi, Presutti, Spohn, and Wick: Asymptotic Equivalence of Fluctuation Fields for Reversible Exclusion Processes with Speed Change
Copyright © 1986 Institute of Mathematical Statistics
A. De Masi, E. Presutti, H. Spohn, and W. D. Wick "Asymptotic Equivalence of Fluctuation Fields for Reversible Exclusion Processes with Speed Change," The Annals of Probability 14(2), 409-423, (April, 1986). https://doi.org/10.1214/aop/1176992524
Published: April, 1986
Vol.14 • No. 2 • April, 1986
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