论文标题
非主流Bernoulli转移的某些因素
Some factors of nonsingular Bernoulli shifts
论文作者
论文摘要
我们给出了非脑化伯努利转移因素的基本结构。特别是，我们表明，所有非脑化bernoulli都会在满足无林条件的有限符号上移动，其因素与独立且相同分布的系统相当。我们还证明了III型：1伯努利的伯努利转移，这是每个可能的ergodic指数，回答了Danilenko和Lemanczyk的问题（Ergodic Theory Dynam.Systems。Systems。Systems，39（12）：3292-3321，2019）。
We give elementary constructions of factors of nonsingular Bernoulli shifts. In particular, we show that all nonsingular Bernoulli shifts on a finite number of symbols which satisfy the Doeblin condition have a factor that is equivalent to an independent and identically distributed system. We also prove that there are type-III:1 Bernoulli shifts of every possible ergodic index, answering a question of Danilenko and Lemanczyk (Ergodic Theory Dynam. Systems, 39(12):3292-3321, 2019).
