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GEOMETRIC PROPERTIES OF 2DIMENSIONAL BROWNIAN PATHS Krzysztof Burdzy University of Washington Abstract Let A be the set of all points of the plane C, visited by 2dimensional Brownian motion before time 1 With probability 1, all points of A are \twist points except a set of harmonic measure zero. B0°3U 8 ö&O 6ë. (2) 51n1 (2) ¥.

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