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  • 标题:Cutoff for a Stratified Random Walk on the Hypercube
  • 本地全文:下载
  • 作者:Anna Ben-Hamou ; Yuval Peres
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2017
  • 卷号:81
  • 页码:29:1-29:10
  • DOI:10.4230/LIPIcs.APPROX-RANDOM.2017.29
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We consider the random walk on the hypercube which moves by picking an ordered pair (i,j) of distinct coordinates uniformly at random and adding the bit at location i to the bit at location j, modulo 2. We show that this Markov chain has cutoff at time (3/2)n*log(n) with window of size n, solving a question posed by Chung and Graham (1997).
  • 关键词:Mixing times; cutoff; hypercube
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