D**u 发帖数: 204 | 1 If t1
(here B_t is brownian motion).
If we treat B_t1 and B_t2 as 2 points in a Hilbert space,
then dist(B_t2, B_t1) = sqrt(t2 - t1).
The question is: can we use a "similar interpretation" to
construct a map from R^n to a Hilbert space, such that
for any 2 points with distance d in R^n,
the distance between their image is sqrt(d)? | Q***5 发帖数: 994 | 2 You may want to try to generalize your B.M. argument to the Gaussian Radom
Field. |
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