Hausdorff dimension of the double points on the Brownian frontier

R Kiefer; P Mörters

doi:10.1007/s10959-009-0262-2

Hausdorff dimension of the double points on the Brownian frontier

R Kiefer, P Mörters

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	605-623
Number of pages	19
Journal	Journal of Theoretical Probability
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s10959-009-0262-2
Publication status	Published - Jun 2010

Keywords

frontier
Hausdorff dimension
double points
disconnection exponent
self-intersections
Mandelbrot conjecture
outer boundary
Brownian motion

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10.1007/s10959-009-0262-2

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title = "Hausdorff dimension of the double points on the Brownian frontier",

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.",

keywords = "frontier, Hausdorff dimension, double points, disconnection exponent, self-intersections, Mandelbrot conjecture, outer boundary, Brownian motion",

author = "R Kiefer and P M{\"o}rters",

year = "2010",

month = jun,

doi = "10.1007/s10959-009-0262-2",

language = "English",

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AU - Kiefer, R

AU - Mörters, P

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KW - frontier

KW - Hausdorff dimension

KW - double points

KW - disconnection exponent

KW - self-intersections

KW - Mandelbrot conjecture

KW - outer boundary

KW - Brownian motion

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

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EP - 623

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

IS - 2

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Hausdorff dimension of the double points on the Brownian frontier

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INTERSECTION LOCAL TIMES AND STOCHASTIC PROCESSES IN RANDOM MEDIA

STOCHASTIC PROCESSES IN RANDOM MEDIA: AN APPROACH USING INT ERSECTION LOCAL TIMES

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Hausdorff dimension of the double points on the Brownian frontier

Abstract

Keywords

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INTERSECTION LOCAL TIMES AND STOCHASTIC PROCESSES IN RANDOM MEDIA

STOCHASTIC PROCESSES IN RANDOM MEDIA: AN APPROACH USING INT ERSECTION LOCAL TIMES

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