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arxiv: 1711.03486 · v1 · pith:3QIOVH7Dnew · submitted 2017-11-09 · 🧮 math.PR

The dimension of the boundary of super-Brownian motion

classification 🧮 math.PR
keywords boundarydimensionmotionsuper-browniandimensionalhausdorffsqrtsqrt2
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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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