Equivalence-Singularity Dichotomy in Markov Measures
Probability
2022-12-07 v2
Abstract
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 any 0-1 law. In fact we deduce a new 0-1 law from the dichotomy.
Cite
@article{arxiv.2103.08383,
title = {Equivalence-Singularity Dichotomy in Markov Measures},
author = {Nachi Avraham-Re'em},
journal= {arXiv preprint arXiv:2103.08383},
year = {2022}
}
Comments
16 pages