Finitary coding for the one-dimensional T,T-1 process with drift

• 成果类型: Article
• 署名作者: Keane, M; Steif, JE
• 署名单位: Wesleyan University; University of Amsterdam; Chalmers University of Technology; University System of Georgia; Georgia Institute of Technology
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2003
• 页码: 1979-1985
• 关键词: t; t-1-process; bernoulli

摘要

We show that there is a finitary isomorphism from a finite state independent and identically distributed (i.i.d.) process to the T, T-1 process associated to one-dimensional random walk with positive drift. This contrasts with the situation for simple symmetric random walk in any dimension, where it cannot be a finitary factor of any i.i.d. process, including in d greater than or equal to 5, where it becomes weak Bernoulli.