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LOCAL LIMITS OF GALTON-WATSON TREES CONDITIONED ON LARGE WIDTH
Aymen Bouaziz

LOCAL LIMITS OF GALTON-WATSON TREES CONDITIONED ON LARGE WIDTH

Author / Organization:
Science & Mathematics Published 2023 Verification Pending

Overview & Synopsis

We study the local convergence of critical Galton-Watson trees under various conditionings. We give a sufficient condition, which serves to cover all the previous cases, for the convergence in distribution of a conditioned Galton-Watson tree to Kesten's tree. We also propose an other proof to give the limit in distribution of a critical Galton-Watson tree, with bounded support, conditioned on having a large width.

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Document Information

Document Title LOCAL LIMITS OF GALTON-WATSON TREES CONDITIONED ON LARGE WIDTH
Author / Organization Aymen Bouaziz
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2023
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-158671
Original Source Link Visit Source Page on hal.science »