Fragmentation associated to Levy processes using snake

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We consider the height process of a Levy process with no negative jumps, and its associated continuous tree representation. Using Levy snake tools developed by Duquesne and Le Gall, with an underlying Poisson process, we construct a fragmentation process, which in the stable case corresponds to the self-similar fragmentation described by Miermont. For the general fragmentation process we compute a family of dislocation measures as well as the law of the size of a tagged fragment. We also give a special Markov property for the snake which is interesting in itself.

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Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/105126

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511702
 http://arxiv.org/abs/math/0511702

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arXiv