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Conditions for the finiteness of the moments of the volume of level sets
(Bernoulli Society for Mathematical Statistics and Probability, 2019)
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures, we establish a relation between (a) the volume of level sets, and (b) the number of crossings of the restriction of the ...
Zeros of Random Functions Generated with de Branges Kernels
(Oxford University Press, 2017-04)
We study the point process given by the set of real zeros of random series generated with orthonormal bases of reproducing kernels of de Branges spaces. We find an explicit formula for the intensity function in terms of ...