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arXiv · 1711.03486

The dimension of the boundary of super-Brownian motion

Leonid Mytnik·Edwin Perkins
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Abstract

We show that the Hausdorff dimension of the boundary of $d$-dimensional super-Brownian motion is $0$, if $d=1$, $4-2\sqrt2$, if $d=2$, and $(9-\sqrt{17})/2$, if $d=3$.

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Leonid Mytnik, Edwin Perkins. 2017-11-09. The dimension of the boundary of super-Brownian motion. https://arxiv.org/abs/1711.03486

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