论文标题
副本的高斯波动在有向聚合物中重叠
Gaussian fluctuations of replica overlap in directed polymers
论文作者
论文摘要
在此简短说明中，我们证明了在高斯随机环境中，低温状态和所有维度中，布朗尼定向聚合物的一种副本重叠的中心限制定理。证明依赖于由空间易感噪声驱动的KPZ方程的超浓度结果，该方程的灵感来自Chatterjee \ cite {C1}的最新工作。
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 \cite{C1}.
