NOISE AS A BOOLEAN ALGEBRA OF σ-FIELDS
成果类型：
Article
署名作者：
Tsirelson, Boris
署名单位：
Tel Aviv University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/13-AOP861
发表日期：
2014
页码：
311-353
关键词：
摘要：
A noise is a kind of homomorphism from a Boolean algebra of domains to the lattice of sigma-fields. Leaving aside the homomorphism we examine its image, a Boolean algebra of sigma-fields. The largest extension of such Boolean algebra of sigma-fields, being well-defined always, is a complete Boolean algebra if and only if the noise is classical, which answers an old question of J. Feldman.