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：
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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.
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页码：1437 / 1453
页数：16
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