LARGE DEVIATIONS FOR THE CURRENT AND TAGGED PARTICLE IN 1D NEAREST-NEIGHBOR SYMMETRIC SIMPLE EXCLUSION

• 成果类型: Article
• 署名作者: Sethuraman, Sunder; Varadhan, S. R. S.
• 署名单位: University of Arizona; New York University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/11-AOP703
• 发表日期: 2013
• 页码: 1461-1512
• 关键词: CENTRAL-LIMIT-THEOREM; Scaling Limit; fluctuations; motion

摘要

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].