The packing measure of the support of super-Brownian motion
Our object is to obtain more information about the fractal properties of super-Brownian motion. For d [greater-or-equal, slanted] 2 the closed support S(Yt) of super-Brownian motion has zero Lebesgue measure and fractal dimension 2. The exact Hausdorff measure properties of S(Yt) are also known. In this paper we show that, for d [greater-or-equal, slanted] 3 there is no measure function ø such that the packing measure ø - p(S(Yt)) is finite and positive, and give an integral test which distinguishes those ø which make the packing measure 0 or +[infinity]. Incomplete results are also obtained for d = 2.
Year of publication: |
1995
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Authors: | Le Gall, J.-F. ; Perkins, E.A. ; Taylor, S.J. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 59.1995, 1, p. 1-20
|
Publisher: |
Elsevier |
Saved in:
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