一类无界环境中定向聚合物弱无序相的矩表征

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability 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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.