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  • 标题:Finitely dependent cycle coloring
  • 本地全文:下载
  • 作者:Alexander E. Holroyd ; Tom Hutchcroft ; Avi Levy
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2018
  • 卷号:23
  • DOI:10.1214/18-ECP118
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要: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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