FINITARY ISOMORPHISMS OF POISSON POINT PROCESSES

• 成果类型: Article
• 署名作者: Soo, Terry; Wilkens, Amanda
• 署名单位: University of Kansas
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/18-AOP1332
• 发表日期: 2019
• 页码: 3055-3081
• 关键词: entropy; CODES

摘要

As part of a general theory for the isomorphism problem for actions of amenable groups, Ornstein and Weiss (J. Anal. Math. 48 (1987) 1-141) proved that any two Poisson point processes are isomorphic as measure-preserving actions. We give an elementary construction of an isomorphism between Poisson point processes that is finitary.