Central limit theorems for the (2+1)-dimensional directed polymer in the weak disorder limit
Central limit theorems for the (2+1)-dimensional directed polymer in the weak disorder limit
复制标题
(2 1)维定向聚合物弱无序极限的中心极限定理
DOI：
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发表时间：
2021
影响因子：
1.5
通讯作者：
S. Gabriel
中科院分区：
文献类型：
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作者：
S. Gabriel
本文给出了定向无规聚合物在亚临界中间无序状态下二维空间路径的不变性原理。更确切地说，当取弱无序极限时，扩散重标聚合物路径的分布在概率上收敛于布朗运动定律。到目前为止，类似的结果只建立在$d上
In this article, we present an invariance principle for the paths of the directed random polymer in space dimension two in the subcritical intermediate disorder regime. More precisely, the distribution of diffusively rescaled polymer paths converges in probability to the law of Brownian motion when taking the weak disorder limit. So far analogous results have only been established for $d
eq 2$. Along the way, we prove a local limit theorem which allows us to factorise the point-to-point partition function of the directed polymer into a product of two point-to-plane partition functions.
影响因子：
2.6
作者：
F. Caravenna;Rongfeng Sun;Nikos Zygouras
通讯作者：
F. Caravenna;Rongfeng Sun;Nikos Zygouras
DOI：
10.1214/19-aop1383
发表时间：
2018-12
期刊：
The Annals of Probability
影响因子：
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作者：
F. Caravenna;Rongfeng Sun;Nikos Zygouras
通讯作者：
F. Caravenna;Rongfeng Sun;Nikos Zygouras