Strassen-type Laws of Iterated Logarithm for a Fractional Brownian Sheet

Zhengyan Lin Department of Mathematics, Zhejiang University, Hangzhou, P.R., China; Department of Mathematics, Zhejiang University, Hangzhou, 310028, P.R., ChinaCorrespondence[email protected].

Wensheng Wang Department of Mathematics, Zhejiang University, Hangzhou, P.R., China; Department of Mathematics, Hangzhou Teacher's College, Hangzhou, P.R., China

Yong-Kab Choi Department of Mathematics, College of Natural Sciences, Gyeongsang National University, Chinju, Korea

Abstract

We study Strassen-type laws of iterated logarithm for a fractional Brownian sheet including that for small time, which imply most of the former laws of the iterated logarithm and Strassen's laws for one-parameter and two-parameter Wiener processes.

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Acknowledgment

The first two authors' research was supported by NSFC (10131040), SRFDP (2002335090) and KRF (D00008).

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Strassen-type Laws of Iterated Logarithm for a Fractional Brownian Sheet

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Strassen-type Laws of Iterated Logarithm for a Fractional Brownian Sheet

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