一类无界环境中定向聚合物弱无序相的矩表征

Pub Date : 2023-01-01 DOI:10.1214/23-ecp545

Ryoki Fukushima, Stefan Junk

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引用次数: 2

摘要

对于随机环境下的定向聚合物模型，在[S]中证明了用重归一化配分函数的矩来表征弱无序相。垃圾通讯:数学物理[j].中国科学:自然科学版，2004,22(5):557 - 557。我们将这种特征扩展到大量的无界环境，其中包括许多常用的发行版。

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Moment characterization of the weak disorder phase for directed polymers in a class of unbounded environments

For a directed polymer model in random environment, a characterization of the weak disorder phase in terms of the moment of the renormalized partition function has been proved in [S. Junk: Communications in Mathematical Physics 389, 1087–1097 (2022)]. We extend this characterization to a large class of unbounded environments which includes many commonly used distributions.

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