Ball throwing on spheres

Details Ball throwing on spheres Ball throwing on spheres

2008-10-22

arxiv.org/abs/0810.4004v2

Mathematics

Probability

Scientific paper

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 $H$ is less than 1/2.

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