An equivalence of H−1 norms for the simple exclusion process
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Sunder Sethuraman [1]
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[1] Iowa State University
Iowa State University
Township of Franklin, Estados Unidos
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- Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 31, Nº. 1, 2003, págs. 35-62
- Idioma: inglés
- DOI: 10.1214/aop/1046294303
- Texto completo no disponible (Saber más ...)
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Resumen
Resolvent H−1 norms with respect to simple exclusion processes play an important role in many problems with respect to additive functionals, tagged particles, and hydrodynamics, among other concerns. Here, general translation-invariant finite-range simple exclusion processes with and without a distinguished particle are considered. For the standard system of indistinguishable particles, it is proved that the corresponding H−1 norms are equivalent, in a sense, to the H−1 norms of a nearest-neighbor system. The same result holds for systems with a distinguished particle in dimensions d≥2. However, in dimension d=1, this equivalence does not hold. An application of the H−1 norm equivalence to additive functional variances is also given.
