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 |
| Creators | Kiefer, R.and Mörters, P. |
| DOI | 10.1007/s10959-009-0262-2 |
| Uncontrolled Keywords | frontier, hausdorff dimension, double points, disconnection exponent, self-intersections, mandelbrot conjecture, outer boundary, brownian motion |
| Departments | Faculty of Science > Mathematical Sciences |
| Refereed | Yes |
| Status | Published |
| ID Code | 16672 |
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