Journal
ANNALS OF PROBABILITY
Volume 41, Issue 3A, Pages 1461-1512Publisher
INST MATHEMATICAL STATISTICS
DOI: 10.1214/11-AOP703
Keywords
Symmetric; exclusion; current; tagged particle; large deviations; one dimensional
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Funding
- NSA Q [H982301010180]
- NSF [DMS-09-04701, OISE-0730136]
- [NSF-0906713]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0904701, 1208334, 1159026] Funding Source: National Science Foundation
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Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincare Probab. Stat. 42 (2006) 567-577]. In this article, we prove corresponding large deviation principles and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in [J. Stat. Phys. 136 (2009) 1-15].
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