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Super-Brownian motion: Path properties and hitting probabilities

Probability Theory and Related Fields (1989) 83(1-2) 135-205
DOI: 10.1007/BF00333147
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Abstract

Sample path properties of super-Brownian motion including a one-sided modulus of continuity and exact Hausdorff measure function of the range and closed support are obtained. Analytic estimates for the probability of hitting balls lead to upper bounds on the Hausdorff measure of the set of k-multiple points and a sufficient condition for a set to be "polar". © 1989 Springer-Verlag.

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Dawson, D. A., Iscoe, I., & Perkins, E. A. (1989). Super-Brownian motion: Path properties and hitting probabilities. Probability Theory and Related Fields, 83(1–2), 135–205. https://doi.org/10.1007/BF00333147

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