Resumen de Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process
We show that for the mean zero simple exclusion process in ℤd and for the asymmetric simple exclusion process in ℤd for d≥3, 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 Sobolev inner product associated with the operator.
