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Your search keyword '"Delmas, Jean"' showing total 1 results
Start Over Author "Delmas, Jean" Topic additive functionals Journal probability theory & related fields
1 results on '"Delmas, Jean"'

1. Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees.

Author

Abraham, Romain, Delmas, Jean-François, and Nassif, Michel

Subjects
*FUNCTIONALS, *TREES, *PHASE transitions
Abstract

We give an invariance principle for very general additive functionals of conditioned Bienaymé-Galton-Watson trees in the global regime when the offspring distribution lies in the domain of attraction of a stable distribution, the limit being an additive functional of a stable Lévy tree. This includes the case when the offspring distribution has finite variance (the Lévy tree being then the Brownian tree). We also describe, using an integral test, a phase transition for toll functions depending on the size and height. [ABSTRACT FROM AUTHOR]

Published
2022
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