Precise Deviations for Discrete Ensembles  

作　　者：Wen Xuan CHEN Fu Qing GAO 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第8期1580-1596,共17页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11971361,11731012)。

摘　　要：We consider precise deviations for discrete ensembles.Forβ=2 case,we first establish an asymptotic formula of the Christoffel–Darboux kernel of the discrete orthogonal polynomials on an infinite regular lattice with weight e^(−NV(x)).Then we use the asymptotic formula to get the precise deviations of the extreme value for corresponding ensemble.

关 键 词：Discrete ensemble precise deviation random growth model Riemann-Hilbert problem 

分 类 号：O211[理学—概率论与数理统计]