定向聚合物在高温下向确定KPZ的弱收敛

IF 1.5 Q2 PHYSICS, MATHEMATICAL Annales de l Institut Henri Poincare D Pub Date : 2021-05-12 DOI:10.1214/22-aihp1287

S. Chatterjee

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引用次数: 6

摘要

结果表明，当(d+1)维定向聚合物模型在足够高的温度下生成的生长随机表面，在取微观局部平均平滑后，收敛于确定性KPZ方程在合适尺度极限下的解。

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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Weak convergence of directed polymers to deterministic KPZ at high temperature

It is shown that when $d\ge 3$, the growing random surface generated by the $(d+1)$-dimensional directed polymer model at sufficiently high temperature, after being smoothed by taking microscopic local averages, converges to a solution of the deterministic KPZ equation in a suitable scaling limit.

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