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Abstract: We determine for a super-Brownian motion fX t : t 0g in R , d 3, the precise gauge function ' such that, almost surely on survival up to time t, '(r) 1; improving a result of Barlow, Evans and Perkins about the most visited sites of superBrownian motion. We also determine upper and lower bounds for the Hausdor dimension spectrum of thick points re ning the multifractal analysis of super-Brownian motion by Taylor and Perkins. The upper bound, conjectured to be sharp, involves a ... (Update)
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BibTeX entry: (Update)
@misc{ blath-thick,
author = "Jochen Blath and Peter Mörters",
title = "Thick Points of Super-Brownian Motion",
url = "citeseer.ist.psu.edu/757506.html" }
Citations (may not include all citations):234 Continuous martingales and Brownian motion (context) - Revuz, Yor - 1994
38 Trees generated by a simple branching process (context) - Hawkes - 1981
29 Thick points for spatial Brownian motion: multifractal analy.. - Dembo, Peres et al. - 2000
26 Historical processes (context) - Dawson, Perkins - 1991
23 Limsup random fractals (context) - Khoshnevisan, Peres et al. - 2000
16 Remarks on intersection-equivalence and capacity-equivalence (context) - Peres - 1996
16 Thick points for planar Brownian motion and the Erdos-Taylo.. - Dembo, Peres et al. - 2001
13 Brownian intersection local times: upper tails and thick poi.. (context) - onig, orters - 2002
12 Logarithmic multifractal spectrum of stable occupation measu.. - Shieh, Taylor - 1998
12 The multifractal structure of stable occupation measure (context) - Hu, Taylor - 1997
9 Collision local times and measure-valued processes (context) - Barlow, Evans et al. - 1991
8 measure of the support of two-dimensional super-Brownian mot.. (context) - Le Gall, Perkins - 1995
8 Fractal measures and their singularities (context) - Halsey, Jensen et al. - 1986
8 The multifractal structure of super-Brownian motion - Perkins, Taylor - 1998
7 A class of path-valued Markov processes and its applications.. (context) - Le Gall - 1993
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