Abstract
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 Poincaré 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1461-1512 |
| Number of pages | 52 |
| Journal | Annals of Probability |
| Volume | 41 |
| Issue number | 3 A |
| DOIs | |
| State | Published - May 2013 |
Keywords
- Current
- Exclusion
- Large deviations
- One dimensional
- Symmetric
- Tagged particle
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty