Equivalence–Singularity Dichotomy in Markov Measures

被引：0

作者：

Nachi Avraham-Re’em

机构：

[1] The Hebrew University of Jerusalem,Einstein Institute of Mathematics, Edmond J. Safra Campus (Givat

来源：

Journal of Theoretical Probability | 2023年 / 36卷

关键词：

Markov chains; Markov fields; Kakutani dichotomy; Zero-one law; 60J10; 28A35; 60F20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish an equivalence–singularity dichotomy for a large class of one-dimensional Markov measures. Our approach is new in that we deal with one-sided and two-sided chains simultaneously and in that we do not appeal to a 0-1 law. In fact, we deduce a new 0-1 law from the dichotomy.

引用

页码：1437 / 1453

页数：16

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