Asymptotics for the small fragments of the fragmentation at nodes

Abstract

Abstract. We consider the fragmentation at nodes of the Lévy continuous random tree introduced in a previous paper. In this framework we compute the asymptotic for the number of small fragments at time θ. This limit is increasing in θ and discontinuous. In the α-stable case the fragmentation is self-similar with index 1/α, with α ∈ (1, 2) and the results… (More)

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Cite this paper

@inproceedings{Abraham2006AsymptoticsFT, title={Asymptotics for the small fragments of the fragmentation at nodes}, author={Romain Abraham}, year={2006} }