Rescaled weighted determinantal random balls

Adrien Clarenne (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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

Domaines: Probabilités [math.PR]

Adrien Clarenne. Rescaled weighted determinantal random balls. ESAIM: Probability and Statistics, 2020, 24, pp.227 - 243. ⟨10.1051/ps/2020005⟩. ⟨hal-01735917v2⟩