Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《应用数学学报(英文版)》 1991-04
Add to Favorite Get Latest Update

THE H(?)LDER CONTINUITY OF WESTWATER PROCESS AND ITS APPLICATIONS

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
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 WANG Jian,LIN Huo-nan (School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China);The Localization Phenomenon for the Occupation Measure of Brownian Sheet[J];Journal of Fujian Normal University(Natural Science);2004-04
2 LIN Huonan (Department of Mathematics, Fujian Teachers' University, Fuzhou 350007, China);Uniform dimension results of multi-parameter stable processes[J];中国科学A辑(英文版);1999-09
3 KONG LingTao,SHEN Dan & HU XiaoYu School of Mathematical Science,Graduate University of the Chinese Academy of Sciences,Beijing 100049,China;The fractal structures of the exceptional sets of Lévy processes[J];中国科学(A辑:数学)(英文版);2009-07
4 ZHOU XIANYIN Department of Mathematics,Beijing Normal University,Beijing 100875,China.;HAUSDORFF DIMENSION OF THE DOUBLE POINT SET OF THE WESTWATER PROCESS[J];数学年刊(英文版);1992-01
5 ZHOU XIANYIN(Depatment of Mathematics, Beijing Normal University Beijing 100875, China);THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE WESTWATER PROCESS[J];数学年刊B辑(英文版);1996-03
6 Zhong Yuquan Hu Dihe Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China Department of Science, Panzhihua University, Panzhihua 61700, China School of Mathematics, Wuhan University, Wuhan 430072, China;UNIFORM PACKING DIMENSION RESULTS FOR MULTIPARAMETER STABLE PROCESSES[J];数学物理学报(英文版);2007-01
7 Xu Ciwen (Dept. of Applied Math. and Software, Central Univ. for Nationalities Beijing 100081) Yan Haifeng (Department of Mathematics, Henan Normal University, Xinxiang 453002) Huang Xianling (Department of Management, University for Nationality of Zhong Nan, Wuhan 430000);The Uniform Packing Measure and Packing Dimension of Image Set of N-d Dimensional Generalized Brownian Sheet[J];Mathematica Applicata;2000-03
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
9 ZHAO XINGQIU( Wuhan University, Wuhan);Uniform Measure and Uniform Dimension Results for the Image of Subset under Processes with Stable Components[J];Chinese Journal of Applied Probability and Statisties;1995-03
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved