Chung&#8217;s functional law of the iterated logarithm for the Brownian sheet

Yonghong LIU; Ting ZHANG; Yiheng TANG

doi:10.1007/s11464-022-1030-1

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Front. Math. China ›› 2022, Vol. 17 ›› Issue (6) : 1015-1024. DOI: 10.1007/s11464-022-1030-1

RESEARCH ARTICLE

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

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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.

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Brownian sheet / Chung's functional law of the iterated logarithm

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Yonghong LIU, Ting ZHANG, Yiheng TANG. Chung’s functional law of the iterated logarithm for the Brownian sheet. Front. Math. China, 2022, 17(6): 1015‒1024 https://doi.org/10.1007/s11464-022-1030-1

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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)