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arxiv: 0808.0425 · v1 · submitted 2008-08-04 · 🧮 math.PR

The Hausdorff dimension of the double points on the Brownian frontier

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keywords frontierbrowniandimensiondoublehausdorffpointsboundarycomplement
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The frontier of a planar Brownian motion is the boundary of the unbounded component of the complement of its range. In this paper we find the Hausdorff dimension of the set of double points on the frontier.

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