3 papers
math.PR2018
Macroscopic analysis of shot-noise Cox random balls
Adrien Clarenne
In this paper, we consider a cluster model of weighted Euclidean random balls generated by a shot-noise Cox process. It is an example of cluster point process. We perform a scaling…
math.PR2018
Rescaled weighted determinantal random balls
Adrien Clarenne
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…
math.PR2015
Macroscopic analysis of determinantal random balls
Jean-Christophe Breton, Adrien Clarenne, Renan Gobard
We consider a collection of Euclidean random balls in generated by a determinantal point process inducing interaction into the balls. We study this model at a macros\-…