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Excursion sets of infinitely divisible random fields with convolution equivalent Lévy measure

Excursion sets of infinitely divisible random fields with convolution equivalent Lévy measure

Abstract We consider a continuous, infinitely divisible random field in ℝ d , d = 1, 2, 3, given as an integral of a kernel function with respect to a Lévy basis with convolution equivalent Lévy measure. For a large class of such random fields, we compute the asymptotic probability …