## Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in $$\mathbb{Z}{}^ d$$.(English)Zbl 0754.60127

The fluctuation field of the symmetric simple exclusion on $$\mathbb{Z}^ d$$ is shown to converge to a generalized Ornstein-Uhlenbeck process in the hydrodynamic limit. The results are obtained using the martingale characterization of Holley and Stroock and estimates of the two point correlation functions.

### MSC:

 60K35 Interacting random processes; statistical mechanics type models; percolation theory
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### References:

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