The Dimension of the Planar Brownian Frontier is 4/3

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dc.creatorLawler, Gregory F.
dc.creatorSchramm, Oded
dc.creatorWerner, Wendelin
dc.date2000-10-16
dc.date2000-10-18
dc.date.accessioned2026-07-07T10:22:29Z
dc.date.available2026-07-07T10:22:29Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0010165
dc.identifierhttp://arxiv.org/abs/math/0010165
dc.identifierMath.Res.Lett.8:401-411,2001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175531
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60J65
dc.titleThe Dimension of the Planar Brownian Frontier is 4/3
dc.typetext

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