THE EXTREMES OF DEPENDENT CHI-PROCESSES ATTRACTED BY THE BROWN-RESNICK PROCESS  

作　　者：孙俊杰 谭中权 Junjie SUN;Zhongquan TAN(College of Data Science,Jiaxing University,Jiaxing,314001,China)

机构地区：[1]College of Data Science,Jiaxing University,Jiaxing,314001,China

出　　处：《Acta Mathematica Scientia》2024年第2期686-701,共16页数学物理学报（B辑英文版）

基　　金：supported by the Zhejiang Provincial Natural Science Foundation of China(LY18A010020);the Innovation of Jiaxing City:A Program to Support the Talented Persons.

摘　　要：Motivated by some recent works on the topic of the Brown-Resnick process, we study the functional limit theorem for normalized pointwise maxima of dependent chi-processes. It is proven that the properly normalized pointwise maxima of those processes are attracted by the Brown-Resnick process.

关 键 词：chi-processes Brown-Resnick process pointwise maxima functional limit theorem 

分 类 号：O211.6[理学—概率论与数理统计]