The Contraction Method on C([0,1]) and Donsker's ... - Eurandom
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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Time-decompositi<strong>on</strong> of the r<strong>and</strong>om walk<br />
It holds:<br />
S n d =<br />
<br />
⌈n/2⌉<br />
n ϕ <br />
n S<br />
⌈n/2⌉<br />
⌈n/2⌉<br />
<br />
⌊n/2⌋<br />
+<br />
n ψ <br />
n S ⌊n/2⌋<br />
⌈n/2⌉<br />
<br />
, (4)<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