Labyrinth dimension of Brownian trace

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paper49.pdf (287.79 KB)

Date

1995

Authors

Burdzy, Krzysztof

Journal Title

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Volume Title

Publisher

Institute of Mathematics

Abstract

Suppose that X is a two-dimensional Brownian motion. The trace X[0, 1] contains a self-avoiding continuous path whose Hausdorff dimension is equal to 2.

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Keywords

Brownian motion, Hausdorff dimension, fractal, cut point

Citation

Burdzy, K. (1995). Labyrinth dimension of Brownian trace. Probability and Mathematical Statistics, Volume dedicated to the memory of Jerzy Neyman, 15, 165-193.

URI

http://hdl.handle.net/1773/2187

DOI

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EPrint Collection - Mathematics