Packing and covering indices for a general Levy process
成果类型：
Article
署名作者：
Pruitt, WE; Taylor, SJ
署名单位：
University of Virginia
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1996
页码：
971-986
关键词：
摘要：
There has been substantial interest in the indices 0 less than or equal to beta '' less than or equal to beta' less than or equal to beta less than or equal to 2 defined by Blumenthal and Getoor, determined by a general Levy process in R(d). Pruitt defined an index gamma which determines the covering dimension and Taylor showed that an index gamma', first considered by Hendricks, determines the packing dimension for the trajectory. In the present paper we prove that beta/2 less than or equal to gamma' less than or equal to min(beta, d), and give examples to show that the whole range is attainable. However, we cannot completely determine the set of values of (gamma, gamma', beta) which can be attained as indices of some Levy process.