Ball throwing on spheres
Probability
2009-06-05 v2
Abstract
Ball throwing on Euclidean spaces has been considered for a while. 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 which is no longer a fractional Brownian motion. However the limit is locally self-similar when the self-similarity index is less than 1/2.
Cite
@article{arxiv.0810.4004,
title = {Ball throwing on spheres},
author = {Anne Estrade and Jacques Istas},
journal= {arXiv preprint arXiv:0810.4004},
year = {2009}
}