The Hausdorff dimension of the double points on the Brownian frontier

Details The Hausdorff dimension of the double points on the Brownian frontier The Hausdorff dimension of the double points on the Brownian frontier

2008-08-04

arxiv.org/abs/0808.0425v1

Mathematics

Probability

15 pages, 3 figures

Scientific paper

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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