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Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process. (English) Zbl 1018.60097

Authors’ abstract: We show that for the symmetric simple exclusion process on \(\mathbb{Z}^d\) the self-diffusion coefficient of a tagged particle is stable when approximated by simple exclusion processes on large periodic lattices. The proof depends on a similar stability property of the asymptotic variance of additive functionals of mean 0. This requires establishing a property for the Dirichlet space known as the Liouville-D property.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
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[15] NEW YORK, NEW YORK 10012 E-MAIL: varadhan@cims.nyu.edu
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