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Mathematics版 - mapping R^n to a Hilbert space
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相关话题的讨论汇总
话题: hilbert话题: t1话题: t2话题: space话题: mapping
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1 (共1页)
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.
1 (共1页)
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话题: hilbert话题: t1话题: t2话题: space话题: mapping