行列式随机球的宏观分析
Macroscopic analysis of determinantal random balls
摘要：
我们考虑一个集合的欧几里得随机球在${\Bbb R}^d$产生的一个决定性的点过程诱导相互作用的球。我们研究了这个模型在宏观\-copic水平上获得的放大和三个不同的制度-高斯，泊松和稳定-表现出在泊松模型没有相互作用。这表明宏观行为消除了由行列式点过程引起的相互作用。
英文摘要：
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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