Some dimension results for super-Brownian motion |
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Authors: | Laurent Serlet |
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Institution: | (1) Laboratoire de Probabilités Université Paris VI 4, Place Jussieu, F-75252 Paris Cedex 05, France |
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Abstract: | Summary The Dawson-Watanabe super-Brownian motion has been intensively studied in the last few years. In particular, there has been much work concerning the Hausdorff dimension of certain remarkable sets related to super-Brownian motion. We contribute to this study in the following way. Let (Y
t)t 0 be a super-Brownian motion on
d
(d 2) andH be a Borel subset of
d
. We determine the Hausdorff Dimension of {t 0; SuppY
t H Ø}, improving and generalizing a result of Krone. We also obtain a new proof of a result of Tribe which gives, whend 4, the Hausdorff dimension of
SuppY
t
as a function of the dimension ofB. |
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Keywords: | 60G57 60G17 |
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