The exact hausdorff measure function of the level sets of multi-parameter symmetric stable process | |
Zheng, SC ; Lin, HN ; Hu, DH | |
2005 | |
关键词 | stable process level sets local time Hausdorff measure LOCAL-TIMES |
英文摘要 | In this paper, we investigate the Hausdorff measure for level sets of N-parameter R-d-valued stable processes, and develop a means of seeking the exact Hausdorff measure function for level sets of N-parameter R-d-valued stable processes. We show that the exact Hausdorff measure function of level sets of N-parameter R-d-valued symmetric stable processes of index alpha is phi(r) = r(N-d/alpha)(log log 1/r)(d/alpha) when N alpha > d. In addition, we obtain a sharp lower bound for the Hausdorff measure of level sets of general (N, d, alpha) strictly stable processes.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000232720700021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; ARTICLE; 5; 1137-1148; 21 |
语种 | 英语 |
出处 | SCI |
出版者 | acta mathematica sinica english series |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157955] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Zheng, SC,Lin, HN,Hu, DH. The exact hausdorff measure function of the level sets of multi-parameter symmetric stable process. 2005-01-01. |
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