Abstract
We show that for the symmetric simple exclusion process on ℤd 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.
Original language | English (US) |
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Pages (from-to) | 483-508 |
Number of pages | 26 |
Journal | Annals of Probability |
Volume | 30 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2002 |
Keywords
- Exclusion process
- Liouville property
- Self-diffusion
- Tagged particle
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty