中文

精确求解 KPZ 方程

概率论 2018-04-17 v1

摘要

我们给出 Kardar-Parisi-Zhang(KPZ)方程窄楔 Hopf-Cole 解的一点分布精确公式的完整证明。本陈述力求自包含,因此不预设关于随机偏微分方程或精确可解系统的先前知识。

关键词

引用

@article{arxiv.1804.05721,
  title  = {Exactly solving the KPZ equation},
  author = {Ivan Corwin},
  journal= {arXiv preprint arXiv:1804.05721},
  year   = {2018}
}

备注

This is a chapter in a forthcoming AMS Proceedings collection of expanded notes from the AMS Short Course "Random Growth Models," which took place in Atlanta, GA, at the AMS Joint Mathematics Meetings in January 2017. Editors: Michael Damron, Firas Rassoul-Agha, Timo Seppalainen