论文标题
固定KPZ型号的上尾界
Upper tail bounds for stationary KPZ models
论文作者
论文摘要
我们提供了在KPZ通用类别中两类固定模型中正确顺序（指数中最多恒定因素）的上尾界的证明。 该证明是基于由于下一次通过指数重量的降雨而导致的指数身份，最近由Emrah-Jianjigian-Seppäiläinen（EJS）重新衍生。我们的证明遵循我们考虑的两类模型的非常相似的行，仅使用一般的单调性和凸度属性，因此可以预期将其应用于许多其他固定模型。
We present a proof of an upper tail bound of the correct order (up to a constant factor in the exponent) in two classes of stationary models in the KPZ universality class. The proof is based on an exponential identity due to Rains in the case of Last Passage Percolation with exponential weights, and recently re-derived by Emrah-Jianjigian-Seppäiläinen (EJS). Our proof follows very similar lines for the two classes of models we consider, using only general monotonocity and convexity properties, and can thus be expected to apply to many other stationary models.
