Shot-noise excursions and non-stabilizing Poisson functionals

@inproceedings{LachizeRey2017ShotnoiseEA,
  title={Shot-noise excursions and non-stabilizing Poisson functionals},
  author={Rapha{\"e}l Lachi{\`e}ze-Rey},
  year={2017}
}
This article presents an asymptotic study of shot noise processes excursions, and of a more general class of statistics on marked spatial Poisson processes. A particularity of shot noise excursions, with respect to many popular objects of stochastic geometry, is that they are not stabilizing in general, but still a modification of the point process far from 0 will not modify the excursion set close to the origin by much. We shall present a complete second order theory that is applicable to… CONTINUE READING