OCCUPATION TIME LARGE DEVIATIONS FOR THE SYMMETRICAL SIMPLE EXCLUSION PROCESS

• 成果类型: Article
• 署名作者: LANDIM, C
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989925
• 发表日期: 1992
• 页码: 206-231
• 关键词: infinite-particle-systems

摘要

We obtain the decay rate of the large deviation probabilities of occupation time for the symmetric simple exclusion process. Furthermore, in dimension d not-equal 2, we prove a large deviation principle for the occupation time. To obtain these results, we prove hydrodynamical limits for the weakly asymmetric simple exclusion process and we prove a large deviation principle for the empirical density for the symmetric simple exclusion process.