论文标题
布朗初始条件的KPZ模型的上尾衰变
Upper tail decay of KPZ models with Brownian initial conditions
论文作者
论文摘要
在本文中，我们考虑了[Chhita-Ferrari-Spohn 2018]中引入的随机但不是固定初始条件的KPZ增长模型的限制分布。限制的单点分布是根据变异问题给出的。通过直接研究它，我们推断出分布函数的右尾渐近造成。这提供了严格的证明，并扩展了[Meerson-Schmidt 2017]中获得的结果。
In this paper we consider the limiting distribution of KPZ growth models with random but not stationary initial conditions introduced in [Chhita-Ferrari-Spohn 2018]. The one-point distribution of the limit is given in terms of a variational problem. By directly studying it, we deduce the right tail asymptotic of the distribution function. This gives a rigorous proof and extends the results obtained in [Meerson-Schmidt 2017].
