Publication: Self-similar fragmentations
Self-similar fragmentations
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Bertoin, J. (2002). Self-similar fragmentations. Annales de l’Institut Henri Poincaré (B) Probabilities et Statistiques, 38(3), 319–340. https://doi.org/10.1016/S0246-0203(00)01073-6
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We introduce a probabilistic model that is meant to describe an object that falls apart randomly as time passes and fulfills a certain scaling property. We show that the distribution of such a process is determined by its index of self-similarity , a rate of erosion c⩾0, and a so-called Lévy measure that accounts for sudden dislocations. The key of the analysis is provided by a transformation of self-similar fragmentations which enables us to reduce the study to the homogeneous case α=0 which is treated in [6].
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- Bertoin, Jean
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Bertoin, J. (2002). Self-similar fragmentations. Annales de l’Institut Henri Poincaré (B) Probabilities et Statistiques, 38(3), 319–340. https://doi.org/10.1016/S0246-0203(00)01073-6
