Mathematics – Probability
Scientific paper
2000-10-16
Math.Res.Lett.8:401-411,2001
Mathematics
Probability
Scientific paper
In a series of recent preprints, we have proven that with probability one the Hausdorff dimension on the outer boundary of planar Brownian motion is 4/3, confirming a conjecture by Mandelbrot. It is also shown that the Hausdorff dimension of the set of cut points is a.s. 3/4. The present paper is an expository outline of the arguments involved in the proof of these and related results.
Lawler Gregory F.
Schramm Oded
Werner Wendelin
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