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《Industrial Engineering Journal》 1993-01
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DISCRETE HAUSDORFF DIMEUSION FO THE LEVEL SET OF A STABLE RANDOM WALK

Zeng Wenqu (Guangdong Mechanical Institute) Sun Hongxiang (Beijing Normal University)  
Let {X_n}_(n≥0) be a stable random walk which is relative to the regular function b(n) = n~(1/a)s(n) in Z~d,and Z(a)= {n≥0:x_a= a} is its level set at a.In this paper,the discrete Mausdorff dimension problem of Z(a) is investigated.As a result,it is proved that dim_H(Z(a))(?) 1-d/a
【Fund】: 国家自然科学基金资助项目
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Shui Cao ZHENG School of Mathematics Sciences,Peking University,Beijing 100871,P.R.China and School of Sciences,Jimei University,Xiamen 361021,P.R.ChinaHuo Nan LIN Department of Mathematics,Fujian Normal University,Fuzhou 350007,P.R.ChinaDi He HU College of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China;The Exact Hausdorff Measure Function of the Level Sets of Multi-parameter Symmetric Stable Process[J];数学学报(英文版);2005-05
2 Zhou Xianyin Department of Mathematics Beijing Normal University,Beijing,China;Hausdorff Measure of the Level Sets of Multi-Parameter Wiener Processes in One Dimension[J];数学学报(英文版);1993-04
3 HU Xiaoyu(Department of Mathematics, Central China Normal Unnersity, Wuhan 430070, China);The exact Hausdorff measure for random re-ordering of Cantor set[J];中国科学A辑(英文版);1995-03
4 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
5 SHI HaiHua, HU XiaoYu;Asymptotic properties of the sample paths of additive Lvy processes[J];Scientia Sinica(Mathematica);2011-04
6 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
7 WU Juan (Dept. of Math.,Huazhong University of Science and Technolgy, Wuhan 430074);FRACTAL PROPERTIES OF THE PRODUCT SETS OF THE SAMPLE PATHS FOR TWO INDEPENDENT ASYMMETRIC CAUCHY PROCESSES[J];JOURNAL OF MATHEMATICS;2000-01
8 ZHOU XIANYIN Beijing Normal University, Beijing;THE H(?)LDER CONTINUITY OF WESTWATER PROCESS AND ITS APPLICATIONS[J];应用数学学报(英文版);1991-04
9 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
10 LIN ZHENGYAN (Department of Mathematics,Zhejiang University,Hangzhou,310027) ZHENG JING~★(Institute of Applied Mathematics,Hangzhou Dianzi University,Hangzhou,310018);Some Properties of a Generalized Fractional Brownian Motion[J];Chinese Journal of Applied Probability and Statistics;2009-03
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