Brown运动增量拟必然局部Strassen重对数律

Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (2): 484-491.

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Quasi Sure Local Strassen's Law of the Iterated Logarithm for Increments of a Brownian Motion

Fengbing Li(),Yonghong Liu*

^{School of Mathematics and Computing Science, Guilin University of Electronic Technology & Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Guilin 541004}

Received:2018-11-20 Online:2020-04-26 Published:2020-05-21
Contact: Yonghong Liu E-mail:1286391997@qq.com
Supported by:
the NSFC(11661025);the Science Research Foundation of Guangxi Education Department(YB2014117);the NSF of Guangxi(2018GXNSFBA281076);the NSF of Guangxi(2017GXNSFBA198179)

Abstract

CLC Number:

O211.04

Fengbing Li,Yonghong Liu. Quasi Sure Local Strassen's Law of the Iterated Logarithm for Increments of a Brownian Motion[J].Acta mathematica scientia,Series A, 2020, 40(2): 484-491.

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References 5

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	Liu Y , Gao F . Quasi sure local Strassen's law of the iterated logarithm for diffusion processes. Acta Math Sci, 2004, 24A (2): 231- 237 doi: 10.3321/j.issn:1003-3998.2004.02.016
3	Liu Y , Li L . The rate of quasi sure convergence in the functional limit theorem for increments of a Brownian motion. J Math Anal Appl, 2009, 356, 21- 29 doi: 10.1016/j.jmaa.2009.02.036
4	Wang W . A generalization of functional law of the iterated logarithm for (r, p)-capacities on the Wiener space. Stochastic Process Appl, 2001, 96, 1- 16 doi: 10.1016/S0304-4149(00)00096-X
5	Yoshida N . A large deviation principle for (r, p)-capacities on the Wiener space. Probab Theory Relat Fields, 1993, 94, 473- 488 doi: 10.1007/BF01192559

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Quasi Sure Local Strassen's Law of the Iterated Logarithm for Increments of a Brownian Motion

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