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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 15, Fasc. ,
pages 165 - 193
 

LABYRINTH DIMENSION OF BROWNIAN TRACE

Krzysztof Burdzy

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.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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