On the structure of 1-dependent Markov chains |
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| Authors: | Jon Aaronson David Gilat Michael Keane |
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| Affiliation: | (1) School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel;(2) Department of Mathematics and Informatics, Delft University of Technology, Julianalaan 132, 2628 BL Delft, The Netherlands |
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| Abstract: | Any stationary 1-dependent Markov chain with up to four states is a 2-block factor of independent, identically distributed random variables. There is a stationary 1-dependent Markov chain with five states which is not, even though every 1-dependent renewal process is a 2-block factor. |
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| Keywords: | Stationary Markov chain 1-dependence block factor |
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