In this paper,we investigate functional limit problem for path of a Brownian sheet,Chung’s functional law of the iterated logarithm for a Brownian sheet is obtained.The main tool in the proof is large deviation and s...In this paper,we investigate functional limit problem for path of a Brownian sheet,Chung’s functional law of the iterated logarithm for a Brownian sheet is obtained.The main tool in the proof is large deviation and small deviation for a Brownian sheet.展开更多
基金supported by the Natural Science Foundation of Guangxi(Grant No.2020GXNSFAA159118)Guangxi Science and Technology Project(Grant No.Guike AD20297006)the Innovation Project of School of Mathematics and Computing Science of GUET Graduate Education(Nos.2021YJSCX05,2022YJSCX04)。
文摘In this paper,we investigate functional limit problem for path of a Brownian sheet,Chung’s functional law of the iterated logarithm for a Brownian sheet is obtained.The main tool in the proof is large deviation and small deviation for a Brownian sheet.
