Rescaled weighted determinantal random balls
ESAIM: Probability and Statistics, Tome 24 (2020), pp. 227-243

We consider a collection of weighted Euclidian random balls in ℝ$$ 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.

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DOI : 10.1051/ps/2020005
Classification : 60G55, 60F05, 60G60, 60G10, 60G52
Keywords: Determinantal point processes, generalized random fields, limit theorem, point processes, stable fields 
@article{PS_2020__24_1_227_0,
     author = {Clarenne, Adrien},
     title = {Rescaled weighted determinantal random balls},
     journal = {ESAIM: Probability and Statistics},
     pages = {227--243},
     year = {2020},
     publisher = {EDP Sciences},
     volume = {24},
     doi = {10.1051/ps/2020005},
     mrnumber = {4079211},
     zbl = {1447.60076},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ps/2020005/}
}
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Clarenne, Adrien. Rescaled weighted determinantal random balls. ESAIM: Probability and Statistics, Tome 24 (2020), pp. 227-243. doi: 10.1051/ps/2020005

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