Ball throwing on spheres

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.
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Submitted on : Friday, June 5, 2009 - 10:55:21 AM
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Anne Estrade, Jacques Istas. Ball throwing on spheres. Bernoulli, Bernoulli Society for Mathematical Statistics and Probability, 2010, 16 (4), pp.953-970. ⟨10.3150/09-BEJ241⟩. ⟨hal-00332812v2⟩

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