Gaussian fluctuations of replica overlap in directed polymers

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2022-01-01 DOI:10.1214/22-ecp476

Yu Gu, T. Komorowski

引用次数: 0

Abstract

. In this short note, we prove a central limit theorem for a type of replica overlap of the Brownian directed polymer in a Gaussian random environment, in the low temperature regime and in all dimensions. The proof relies on a superconcentration result for the KPZ equation driven by a spatially molliﬁed noise, which is inspired by the recent work of Chatterjee [14].

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定向聚合物中复制重叠的高斯涨落

。在这篇简短的文章中，我们证明了一种布朗定向聚合物在高斯随机环境、低温状态和所有维度下的复制重叠的中心极限定理。该证明依赖于由空间缓和噪声驱动的KPZ方程的超集中结果，该结果受到Chatterjee[14]最近工作的启发。

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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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.