Analyticity for rapidly determined properties of Poisson Galton-Watson trees

DOI10.1214/20-ECP320zbMath1453.60147arXiv1909.09121OpenAlexW3036861941MaRDI QIDQ782837

Yuval Peres, Andrew Swan

Publication date: 29 July 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09121

zbMATH Keywords

phase transitionfirst-order logicanalytic continuationGalton-Watson treePoisson offspring distribution

Mathematics Subject Classification ID

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

Cites Work

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• Galton-Watson probability contraction
• Domains of analytic continuation for the top Lyapunov exponent
• On the Lambert \(w\) function
• Four random permutations conjugated by an adversary generateS_nwith high probability
• Probability on Trees and Networks
• First Order Probabilities for Galton–Watson Trees
• The strange logic of random graphs

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