A Simple Proof of Duquesne’s Theorem on Contour Processes of Conditioned Galton–Watson Trees

DOI10.1007/978-3-319-00321-4_20zbMath1286.60087arXiv1109.4138OpenAlexW1494749049MaRDI QIDQ2865120

Igor Kortchemski

Publication date: 28 November 2013

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4138

zbMATH Keywords

scaling limitinvariance principleconditioned Galton-Watson treestable continuous random tree

Mathematics Subject Classification ID

Strong limit theorems (60F15) Combinatorial probability (60C05) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (22)

Sub-exponential tail bounds for conditioned stable Bienaymé-Galton-Watson trees ⋮ The distance profile of rooted and unrooted simply generated trees ⋮ Zooming in at the root of the stable tree ⋮ A conditional functional limit theorem for decomposable branching processes with two types of particles ⋮ Scaling limits of discrete snakes with stable branching ⋮ Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity ⋮ Scaling limits of slim and fat trees ⋮ Limits of random tree-like discrete structures ⋮ A phase transition in block-weighted random maps ⋮ Scaling Limits of Markov-Branching Trees and Applications ⋮ On random trees and forests ⋮ The boundary of random planar maps via looptrees ⋮ Invariance principles for Galton-Watson trees conditioned on the number of leaves ⋮ The forest associated with the record process on a Lévy tree ⋮ Invariance principles for random walks in random environment on trees ⋮ Cost functionals for large (uniform and simply generated) random trees ⋮ THE RANGE OF TREE-INDEXED RANDOM WALK ⋮ On scaling limits of multitype Galton-Watson trees with possibly infinite variance ⋮ Percolation on random triangulations and stable looptrees ⋮ Simply Generated Unrooted Plane Trees ⋮ Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees ⋮ Limit theorems for conditioned non-generic Galton-Watson trees

This page was built for publication: A Simple Proof of Duquesne’s Theorem on Contour Processes of Conditioned Galton–Watson Trees