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2013 A note on the scaling limits of contour functions of Galton-Watson trees
Hui He, Nana Luan
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Electron. Commun. Probab. 18: 1-13 (2013). DOI: 10.1214/ECP.v18-2781

Abstract

Recently, Abraham and Delmas constructed the distributions of super-critical Lévy trees truncated at a fixed height by connecting super-critical Lévy trees to (sub)critical Lévy trees via a martingale transformation. A similar relationship also holds for discrete Galton-Watson trees. In this work, using the existing works on the convergence of contour functions of (sub)critical trees, we prove that the contour functions of truncated super critical Galton-Watson trees converge weakly to the distributions constructed by Abraham and Delmas.

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Hui He. Nana Luan. "A note on the scaling limits of contour functions of Galton-Watson trees." Electron. Commun. Probab. 18 1 - 13, 2013. https://doi.org/10.1214/ECP.v18-2781

Information

Accepted: 11 October 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1307.60119
MathSciNet: MR3125255
Digital Object Identifier: 10.1214/ECP.v18-2781

Subjects:
Primary: 60J80

JOURNAL ARTICLE
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