Differentiability of multiplicative processes related to branching random walks
Julien Barral (2000)
Annales de l'I.H.P. Probabilités et statistiques
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Differentiability of multiplicative processes related to branching random walks
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Mutually catalytic branching in the plane : uniqueness
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Florent Nicaise (2003)
Annales de l'I.H.P. Probabilités et statistiques
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Strong law of large numbers for fragmentation processes
S. C. Harris, R. Knobloch, A. E. Kyprianou (2010)
Annales de l'I.H.P. Probabilités et statistiques
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In the spirit of a classical result for Crump–Mode–Jagers processes, we prove a strong law of large numbers for fragmentation processes. Specifically, for self-similar fragmentation processes, including homogenous processes, we prove the almost sure convergence of an empirical measure associated with the stopping line corresponding to first fragments of size strictly smaller than for 1≥>0.