square variation of brownian paths in banach spaces
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ID: 140311
1982
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Abstract
It is known that if {W(t), 0≤t≤1} is a standard Brownian motion in ℝ then limn→∞∑i=12n|W(i/2n)−W((i−1)/2n)|2=1 almost surely. We generalize this celebrated theorem of Levy to Brownian motion in real separable Banach spaces.
| Reference Key |
chang1982internationalsquare
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|---|---|
| Authors | ;Mou-Hsiung Chang |
| Journal | structural engineering and mechanics |
| Year | 1982 |
| DOI |
10.1155/S016117128200057X
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| URL | |
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