Ball throwing on spheres
Estrade, Anne ; Istas, Jacques
Bernoulli, Tome 16 (2010) no. 1, p. 953-970 / Harvested from Project Euclid
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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.
Publié le : 2010-11-15
Classification:  fractional Brownian motion,  overlapping balls,  scaling,  self-similarity,  spheres 
@article{1290092891,
     author = {Estrade, Anne and Istas, Jacques},
     title = {Ball throwing on spheres},
     journal = {Bernoulli},
     volume = {16},
     number = {1},
     year = {2010},
     pages = { 953-970},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1290092891}
}

Estrade, Anne; Istas, Jacques. Ball throwing on spheres. Bernoulli, Tome 16 (2010) no. 1, pp.  953-970. http://gdmltest.u-ga.fr/item/1290092891/