Leaf multiplicity in a Bienaym\'e-Galton-Watson tree

DOI10.46298/dmtcs.7515zbMath1529.60058arXiv2105.12046OpenAlexW4221100522MaRDI QIDQ6045412

Marcel K. Goh, Rosie Y. Zhao, Unnamed Author, Luc P. Devroye

Publication date: 30 May 2023

Published in: Discrete Mathematics & Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12046

zbMATH Keywords

automorphismstreesRényi entropyBienaymé-Galton-Watson treesleaf multiplicity

Mathematics Subject Classification ID

Trees (05C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• A Mathematical Theory of Communication
• Subdiffusive behavior of random walk on a random cluster
• Local limits of large Galton-Watson trees rerooted at a random vertex
• Probability on Trees and Networks
• On the Altitude of Nodes in Random Trees
• Entropy computations via analytic depoissonization
• The total progeny in a branching process and a related random walk

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