Equilibrium fluctuations of additive functionals of zero-range models

Abstract : For mean-zero and asymmetric zero-range processes on Zd, the fluctuations of additive functionals starting from an invariant measure are considered. Under certain assumptions, we establish when the fluctuations are diffusive and satisfy functional central limit theorems. These results complement those for symmetric zero-range systems and also those for simple exclusion models already in the literature.
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Cedric Bernardin, Patricia Gonçalves, Sunder Sethuraman. Equilibrium fluctuations of additive functionals of zero-range models. Proceedings in Mathematics, Springer 2014, 75, pp.143-160. ⟨ensl-00909797⟩

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