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Labyrinth dimension of Brownian trace

Labyrinth dimension of Brownian trace

Burdzy, Krzysztof
URI: http://hdl.handle.net/1773/2187
Date: 1995

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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