Generalized operator-scaling random ball model

Hermine Biermé (1) , Olivier Durieu (2) , Yizao Wang (3)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 7348]
2 LMRS - Laboratoire de Mathématiques Raphaël Salem
3 Department of Mathematical Sciences [Cincinnati]

This article introduces the operator-scaling random ball model, generalizing the isotropic random ball models investigated recently in the literature to anisotropic setup. The model is introduced as a generalized random field and results on weak convergence are established in the space of tempered distributions.

Domaines: Probabilités [math.PR]

Hermine Biermé, Olivier Durieu, Yizao Wang. Generalized operator-scaling random ball model. ALEA : Latin American Journal of Probability and Mathematical Statistics, 2018, ⟨10.30757/ALEA.v15-52⟩. ⟨hal-01828370v2⟩