Frontiers of Mathematics in China >

2022 , Vol. 17 >Issue 6: 1015 - 1024

DOI: https://doi.org/10.1007/s11464-022-1030-1

RESEARCH ARTICLE

Chung’s functional law of the iterated logarithm for the Brownian sheet

  • Yonghong LIU ,
  • Ting ZHANG ,
  • Yiheng TANG
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  • Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China

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2022 Higher Education Press 2022
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Abstract

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.

Key words： Brownian sheet; Chung's functional law of the iterated logarithm

Cite this article

Yonghong LIU , Ting ZHANG , Yiheng TANG . Chung’s functional law of the iterated logarithm for the Brownian sheet[J]. Frontiers of Mathematics in China, 2022 , 17(6) : 1015 -1024 . DOI: 10.1007/s11464-022-1030-1

Acknowledgements

The work is 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)

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