对数聚合物的偏差很大

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-16 DOI:10.1112/jlms.70295

Tom Claeys, Julian Mauersberger

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引用次数: 0

摘要

我们推测了对数聚合物配分函数的下尾大偏差率函数的显式表达式。我们严格地证明了我们的结果，除了一个步骤，我们只提供启发式证据。结果表明，在零温度极限下，大偏差率函数与指数权重下的末道渗流函数相匹配，中等偏差时与Tracy-Widom分布的下尾相匹配。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Large deviations for the log-Gamma polymer

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Large deviations for the log-Gamma polymer

We conjecture an explicit expression for the lower tail large deviation rate function of the partition function of the log-Gamma polymer. We rigorously prove our result, except for one step for which we only provide heuristic evidence. We show that the large deviation rate function matches with that of last passage percolation with exponential weights in the zero-temperature limit, and with the lower tail of the Tracy–Widom distribution for moderate deviations.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.