The packing indices for some Lévy processes
Let be a Lévy process, and where . Taylor (1986) showed that the packing dimension of the trajectory of X is [gamma]0. An open question from Pruitt and Taylor (1996) is: Is it true that [gamma]0=inf{[alpha]>=0:a-[alpha]T(a,1)-->[infinity] a.s.  as  a-->0}? In this paper, we give some answers to this question.
Year of publication: |
2011
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Authors: | Zheng, Jing ; Lin, Zhengyan ; Tong, Changqing |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 11, p. 1683-1689
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Publisher: |
Elsevier |
Keywords: | Levy process Packing dimension Local time Occupation time measure |
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