On Global and Local Properties of the Trajectories of Gaussian Random Fields——A Look Through the Set of Limit Points

作     者：Wen Sheng WANG Zhong Gen SU Yi Min XIAO Wen Sheng WANG;Zhong Gen SU;Yi Min XIAO

作者机构：School of EconomicsHangzhou Dianzi UniversityHangzhou 310018P.R.China School of Mathematical SciencesZhejiang UniversityHangzhou 310027P.R.China Department of Statistics and ProbabilityMichigan State UniversityMI 48824USA 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2020年第36卷第2期

页      面：137-152页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported by NSFC(Grants Nos.11671115,11731012 and 11871425) NSF(Grant No.DMS-1855185) 

主　　题：Fractional Riesz-Bessel processes functional law of the iterated logarithm Gaussian random fields large deviation principle 

摘      要：This paper studies the global and local properties of the trajectories of Gaussian random fields with stationary increments and proves sufficient conditions for Strassen s functional laws of the iterated logarithm at zero and infinity *** sets of limit points of those Gaussian random fields are *** main results are applied to fractional Riesz-Bessel processes and the sets of limit points of this field are obtained.