FISHER INFORMATION AMONG β-ENSEMBLES  

作　　者：Yutao MA 马宇韬

机构地区：[1]School of Mathematical Sciences&Laboratory of Mathematics and Comple Systems of Ministry of Education,Beijing Normal University,Beijing 100875,China

出　　处：《Acta Mathematica Scientia》2025年第2期493-513,共21页数学物理学报(B辑英文版)

基　　金：supported by the NSFC(12171038)and 985 Projects。

摘　　要：In this paper,we consider the Fisher informations among three classical type β-ensembles when β>0 scales with n satisfying lim βn=∞.We offer the exact order of-the corresponding two Fisher informations,which indicates that theβ-Laguerre ensembles do not satisfy the logarithmic Sobolev inequality.We also give some limit theorems on the extremals of β-Jacobi ensembles for β>0 fixed.

关 键 词：β-Hermite ensemble βB-Laguerre ensemble β-Jacobi ensemble Fisher information Tracy-Widom law 

分 类 号：O211[理学—概率论与数理统计]