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《应用数学学报(英文版)》 1991-04
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ZHOU XIANYIN Beijing Normal University, Beijing  
In this paper, the Holder continuity of Westwater process X_t is concerned. More precisely,we show that there exists a random variable r_C∈(0,∞) for any C∈(3,∞) such that|X_s-X_t|≤C|(s-t)|~(1/2)|log|t-s||r_C.As its applications. we give two bounds respectively for the Hausdorff measure function of multipletime set of Westwater process, and the Hausdorff measure of the image X(E) of a Borel set Eby Westwater process.
【Fund】: This project is supported in part by the National Natural Science Foundation of China
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8 SUN HONG-XIANG (Beijing Normal University) ZENG WEN-Qu(Northeast University of Technology, Shmyang);Discrete Hausdorff Dimension of The Double time Set of Intersection of Stable Random Walk[J];Chinese Journal of Applied Probability and Statisties;1995-01
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