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Local convergence of critical Galton–Watson trees
Published online by Cambridge University Press: 30 November 2023
Abstract
We study the local convergence of critical Galton–Watson trees under various conditionings. We give a sufficient condition, which serves to cover all previous known results, for the convergence in distribution of a conditioned Galton–Watson tree to Kesten’s tree. We also propose a new proof to give the limit in distribution of a critical Galton–Watson tree, with finite support, conditioned on having a large width.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of Applied Probability Trust