New Characterization of the Weak Disorder Phase of Directed Polymers in Bounded Random Environments
New Characterization of the Weak Disorder Phase of Directed Polymers in Bounded Random Environments
复制标题
有界随机环境中定向聚合物弱无序相的新表征
DOI：
10.1007/s00220-021-04259-9
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发表时间：
2021
影响因子：
2.4
通讯作者：
Junk Stefan
中科院分区：
文献类型：
--
作者：
Junk Stefan
We show that the weak disorder phase for the directed polymer model in a random environment is characterized by the integrability of the running supremumof the associated martingale. If the environment is bounded, we also show thatis-bounded in the whole weak disorder phase, for some. The argument generalizes to non-negative martingales with a certain product structure.
