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Hausdorff dimension of the double points on the Brownian frontier


Reference:

Kiefer, R. and Mörters, P., 2010. Hausdorff dimension of the double points on the Brownian frontier. Journal of Theoretical Probability, 23 (2), pp. 605-623.

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Official URL:

http://dx.doi.org/10.1007/s10959-009-0262-2

Abstract

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.

Details

Item Type Articles
CreatorsKiefer, R.and Mörters, P.
DOI10.1007/s10959-009-0262-2
Uncontrolled Keywordsfrontier, hausdorff dimension, double points, disconnection exponent, self-intersections, mandelbrot conjecture, outer boundary, brownian motion
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code16672

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