文章基本信息

标题：A note on directed polymers in gaussian environments
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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