Throwing balls on homogeneous surfaces
Résumé
Throwing balls on Euclidean spaces have been considered since a while. With suitable renormalization, it leads to fractional Brownian motion as limit object. We investigate in this paper the throw of balls on spheres and hyperbolic spaces. This leads to dramatically different behaviors. On spheres, we obtain a Gaussian limit that is no more a fractinal Brownian motion, but is locally self-similar. On hyperbolic spaces, we prove that there is no any limit.
Domaines
Probabilités [math.PR]Origine | Fichiers produits par l'(les) auteur(s) |
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