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The Contraction Method on C([0,1]) and Donsker's ... - Eurandom

The Contraction Method on C([0,1]) and Donsker's ... - Eurandom

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It holds<br />

Decompositi<strong>on</strong> of Brownian Moti<strong>on</strong><br />

(Bt) t<br />

d<br />

=<br />

<br />

Bt + B ′ <br />

t √<br />

2 t<br />

for two independent st<strong>and</strong>ard Brownian Moti<strong>on</strong>s B, B ′ .<br />

Henning Sulzbach J. W. Goethe-Universität Frankfurt a. M. <str<strong>on</strong>g>The</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>tracti<strong>on</strong></str<strong>on</strong>g> <str<strong>on</strong>g>Method</str<strong>on</strong>g> <strong>on</strong> C([0, 1]) <strong>and</strong> D<strong>on</strong>sker’s <str<strong>on</strong>g>The</str<strong>on</strong>g>orem<br />

(2)

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