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文章基本信息

  • 标题:Cutoff and mixing time for transient random walks in random environments
  • 本地全文:下载
  • 作者:Nina Gantert ; Thomas Kochler
  • 期刊名称:Latin American Journal of Probability and Mathematical Statistics
  • 电子版ISSN:1980-0436
  • 出版年度:2013
  • 卷号:X
  • 页码:449-484
  • 出版社:Instituto Nacional De Matemática Pura E Aplicada
  • 摘要:We show that a sequence of birth-and-death chains, given by lazy randomwalks in a transient environment (RWRE) on [0, n], exhibits a cutoff in theballistic regime but does not exhibit a cutoff in the (interior of) the subballisticregime. We investigate the growth of the mixing times for this model. As an importantstep in the proof, we derive bounds for the quenched expectation and thequenched variance of the hitting times of the RWRE, which are of independentinterest.
  • 关键词:Cutoff for Markov chains; random walk in random environment; mix-;ing times; hitting times .
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