Abstract
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 $1/2$.
Citation
Anne Estrade. Jacques Istas. "Ball throwing on spheres." Bernoulli 16 (4) 953 - 970, November 2010. https://doi.org/10.3150/09-BEJ241
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