The Hausdorff dimension of the double points on the Brownian frontier

نویسنده

  • Richard Kiefer
چکیده

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. Résumé: Nous déterminons la dimension de Hausdorff de l’ensemble des points doubles situés sur la frontière d’un mouvement brownien plan. MSC 2000: Primary 60J65; Secondary 60G17.

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تاریخ انتشار 2008