Volume 24, 2020
|Page(s)||227 - 243|
|Published online||24 March 2020|
Rescaled weighted determinantal random balls
Univ Rennes, CNRS, IRMAR - UMR 6625,
* Corresponding author: firstname.lastname@example.org
Accepted: 20 January 2020
We consider a collection of weighted Euclidian random balls in ℝd distributed according a determinantal point process. We perform a zoom-out procedure by shrinking the radii while increasing the number of balls. We observe that the repulsion between the balls is erased and three different regimes are obtained, the same as in the weighted Poissonian case.
Mathematics Subject Classification: 60G55 / 60F05 / 60G60 / 60G10 / 60G52
Key words: Determinantal point processes / generalized random fields / limit theorem / point processes / stable fields
© The authors. Published by EDP Sciences, SMAI 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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