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	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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