RANDOM STATIONARY-PROCESSES
成果类型：
Article
署名作者：
ALEXANDER, KS; KALIKOW, SA
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176989685
发表日期：
1992
页码：
1174-1198
关键词：
摘要：
Given a finite alphabet, there is an inductive method for constructing a stationary measure on doubly infinite words from this alphabet. This construction can be randomized; the main focus here is on a particular uniform randomization which intuitively corresponds to the idea of choosing a generic stationary process. It is shown that with probability 1, the random stationary process has zero entropy and gives positive probability to every periodic infinite word.