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文章基本信息

  • 标题:Continuous Time 'True' Self-avoiding Random Walk on Z
  • 本地全文:下载
  • 作者:Bálint Tóth ; Bálint Veto
  • 期刊名称:Latin American Journal of Probability and Mathematical Statistics
  • 电子版ISSN:1980-0436
  • 出版年度:2011
  • 卷号:VIII
  • 出版社:Instituto Nacional De Matemática Pura E Aplicada
  • 摘要:

    We consider the continuous time version of the ‘true’ or ‘myopic’ selfavoiding
    random walk with site repulsion in 1d. The Ray –Knight-type method
    which was applied in (T´oth, 1995) to the discrete time and edge repulsion case is
    applicable to this model with some modifications. We present a limit theorem for
    the local time of the walk and a local limit theorem for the displacement.

  • 关键词:Random Walks;Limit Theorems;Discrete Time
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