Uniform packing dimension results for multiparameter stable processes
文献类型：期刊论文
| 作者 | Zhong Yuquan; Hu Dihe |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2007 |
| 卷号 | 27期号:1页码:1-10 |
| 关键词 | (N, d, alpha)-stable process stopping time Kolmogorov upper index packing dimension |
| ISSN号 | 0252-9602 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000243921200001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5036]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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