T. E. HARRIS CONTRIBUTIONS TO INTERACTING PARTICLE SYSTEMS AND PERCOLATION

• 成果类型: Article
• 署名作者: Liggett, Thomas M.
• 署名单位: University of California System; University of California Los Angeles
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/10-AOP593
• 发表日期: 2011
• 页码: 407-416
• 关键词: markov-processes; tagged particle; contact process; correlation inequalities; limit

摘要

Interacting particle systems and percolation have been among the most active areas of probability theory over the past half century. Ted Harris played an important role in the early development of both fields. This paper is a bird's eye view of his work in these fields, and of its impact on later research in probability theory and mathematical physics.