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

Yonghong LIU , Ting ZHANG , Yiheng TANG

Front. Math. China ›› 2022, Vol. 17 ›› Issue (6) : 1015 -1024.

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

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