Abstract
We consider a collection of Euclidean random balls in $\mathbb{R}^{d}$ generated by a determinantal point process inducing inhibitory interaction into the balls. We study this model at a macroscopic 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.
Citation
Jean-Christophe Breton. Adrien Clarenne. Renan Gobard. "Macroscopic analysis of determinantal random balls." Bernoulli 25 (2) 1568 - 1601, May 2019. https://doi.org/10.3150/18-BEJ1030
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