ON THE BOUNDARY OF THE SUPPORT OF SUPER-BROWNIAN MOTION By

@inproceedings{Mueller2015ONTB,
  title={ON THE BOUNDARY OF THE SUPPORT OF SUPER-BROWNIAN MOTION By},
  author={Carl Mueller and Leonid Mytnik and Edwin J. Perkins},
  year={2015}
}
We study the density X(t, x) of one-dimensional super-Brownian motion and find the asymptotic behaviour of P (0 < X(t, x) ≤ a) as a ↓ 0 as well as the Hausdorff dimension of the boundary of the support of X(t, ·). The answers are in terms of the leading eigenvalue of the Ornstein-Uhlenbeck generator with a particular killing term. This work is motivated in part by questions of pathwise uniqueness for associated stochastic partial differential equations. 

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