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On the large deviation property of random measures on the $d$-dimensional Euclidean space

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Abstract

We give a formulation of the large deviation property forrescalings of random measures on the d-dimensional Euclidean space R^d.The approach is global in the sense that the objects are Radon measures onR^d and the dual objects are the continuous functions with compact support.This is applied to the cluster random measures with Poisson centers,a large class of random measures that includes the Poisson processes.

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