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  • 标题:A note on directed polymers in gaussian environments
  • 本地全文:下载
  • 作者:Hu, Yueyun ; Shao, Qi-Man
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2009
  • 卷号:14
  • 页码:518-528
  • DOI:10.1214/ECP.v14-1509
  • 出版社:Electronic Communications in Probability
  • 摘要:We study the problem of directed polymers in gaussian environments in $\mathbb{Z}^d$ from the viewpoint of a gaussian family indexed by the set of random walk paths. In the zero-temperature case, we give a numerical bound on the maximum of the Hamiltonian, whereas in the finite temperature case, we establish an equivalence between the "very strong disorder" and the growth rate of the entropy associated to the model
  • 关键词:Directed polymer, gaussian environment;60K37
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