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arXiv · 1707.09374

Finitely dependent cycle coloring

Alexander E. Holroyd·Tom Hutchcroft·Avi Levy
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Abstract

We construct stationary finitely dependent colorings of the cycle which are analogous to the colorings of the integers recently constructed by Holroyd and Liggett. These colorings can be described by a simple necklace insertion procedure, and also in terms of an Eden growth model on a tree. Using these descriptions we obtain simpler and more direct proofs of the characterizations of the 1- and 2-color marginals.

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Alexander E. Holroyd, Tom Hutchcroft, Avi Levy. 2017-07-28. Finitely dependent cycle coloring. https://doi.org/10.1214/18-ecp118

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