Macroscopic analysis of determinantal random balls

2015/04/17 by Breton, Jean-Christophe, Clarenne, Adrien, Gobard, Renan
Mathematics · #60F05 #60G55 #60G60 #60H05 #FOS: Mathematics #Geometry and complex manifolds #Point processes and geometric inequalities #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1504.04513

openalex publication_date 2015/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a collection of Euclidean random balls in Bbb R^d generated\nby a determinantal point process inducing interaction into the balls. We study\nthis model at a macros -copic level obtained by a zooming-out and three\ndifferent regimes --Gaussian, Poissonian and stable-- are exhibited as in the\nPoissonian model without interaction. This shows that the macroscopic behaviour\nerases the interactions induced by the determinantal point process.\n

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