Equivalence–Singularity Dichotomy in Markov Measures

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作者
Nachi Avraham-Re’em
机构
[1] The Hebrew University of Jerusalem,Einstein Institute of Mathematics, Edmond J. Safra Campus (Givat
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关键词
Markov chains; Markov fields; Kakutani dichotomy; Zero-one law; 60J10; 28A35; 60F20;
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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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