Uniform packing dimension results for multiparameter stable processes

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	Uniform packing dimension results for multiparameter stable processes
	Zhong Yuquan ; Hu Dihe
	2007
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	27 期号:1 页码:1-10
摘要	In this article, authors discuss the problem of uniform packing dimension of the image set of multiparameter stochastic processes without random uniform Holder condition, and obtain the uniform packing dimension of multiparameter stable processes. If Z is a stable (N, d, alpha)-process and alpha N <= d, then the following holds with probability 1 Dim Z(E) = alpha DimE for any Borel set E is an element of B(R-+(N)), where Z(E) = {x : there exists t is an element of E, Z(t) = x}. Dim(E) denotes the packing dimension of E.
关键词	(N, d, alpha)-stable process stopping time Kolmogorov upper index packing dimension
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000243921200001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5037
专题	中国科学院数学与系统科学研究院
通讯作者	Zhong Yuquan
作者单位	1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 2.Panzhihua Univ, Dept Sci, Panzhihua 61700, Peoples R China 3.Wuhan Univ, Sch Math, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Zhong Yuquan,Hu Dihe. Uniform packing dimension results for multiparameter stable processes[J]. ACTA MATHEMATICA SCIENTIA,2007,27(1):1-10.
APA	Zhong Yuquan,&Hu Dihe.(2007).Uniform packing dimension results for multiparameter stable processes.ACTA MATHEMATICA SCIENTIA,27(1),1-10.
MLA	Zhong Yuquan,et al."Uniform packing dimension results for multiparameter stable processes".ACTA MATHEMATICA SCIENTIA 27.1(2007):1-10.