Ball throwing on spheres
Résumé
Ball throwing on Euclidean spaces has been considered for some time. A suitable renormalization leads to a fractional Brownian motion as limit object. In this paper, we investigate ball throwing on spheres. A different behavior is exhibited: we still get a Gaussian limit, but it is no longer a fractional Brownian motion. However, the limit is locally self-similar when the self-similarity index H is less than 1 / 2.
Domaines
Probabilités [math.PR]Origine | Fichiers produits par l'(les) auteur(s) |
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