City of Rochester, Estados Unidos
Israel
Canadá
We study the density X(t,x)X(t,x) of one-dimensional super-Brownian motion and find the asymptotic behaviour of (...) as well as the Hausdorff dimension of the boundary of the support of X(t,⋅)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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