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Macroscopic analysis of determinantal random balls

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 نشر من قبل Jean-Christophe Breton
 تاريخ النشر 2015
  مجال البحث
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We consider a collection of Euclidean random balls in ${Bbb R}^d$ generated by a determinantal point process inducing interaction into the balls. We study this model at a macros-copic level obtained by a zooming-out and three different regimes --Gaussian, Poissonian and stable-- are exhibited as in the Poissonian model without interaction. This shows that the macroscopic behaviour erases the interactions induced by the determinantal point process.



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