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4 months ago

Lester
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In the introduction the authors state that there is an associated reversible random walk to the Cameron-Martin and finite energy point models. Then they state that the random walk is transient if and only if finite-energy point-kernels exist. The existence of the finite-energy point-kernels implies that the space has the discrete mass property (i.e. all dirac functions are in the RKHS).

What are the associated random walks in the cases above and are there any other known applications of the discrete mass property?

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