Conditioning Bienaym{é}-Galton-Watson trees to have large sub-populations
arXiv:2311.17716
Abstract
We study the local limit in distribution of Bienaym{é}-Galton-Watson trees conditioned on having large sub-populations. Assuming a generic and aperiodic condition on the offspring distribution, we prove the existence of a limit given by a Kesten's tree associated with a certain critical offspring distribution.
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