Probability Theory and Related Fields

, Volume 83, Issue 1, pp 135-205

First online:

Super-Brownian motion: Path properties and hitting probabilities

  • D. A. DawsonAffiliated withCarleton University
  • , I. IscoeAffiliated withMcGill University
  • , E. A. PerkinsAffiliated withUniversity of British Columbia

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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”.