Condensation in critical Cauchy Bienaymé-Galton-Watson trees

DOI10.1214/18-AAP1447zbMath1427.60178arXiv1804.10183OpenAlexW2962708590MaRDI QIDQ2415515

Igor Kortchemski, Loïc Richier

Publication date: 22 May 2019

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10183

zbMATH Keywords

condensationCauchy processplanar mapBienaymé-Galton-Watson tree

Mathematics Subject Classification ID

Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (10)

On scaling limits of random trees and maps with a prescribed degree sequence ⋮ Infinite stable looptrees ⋮ Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees ⋮ Large deviation local limit theorems and limits of biconditioned planar maps ⋮ On random trees and forests ⋮ On the maximal offspring in a subcritical branching process ⋮ The boundary of random planar maps via looptrees ⋮ Notes on random walks in the Cauchy domain of attraction ⋮ Brownian motion on stable looptrees ⋮ Critical branching processes in random environment and Cauchy domain of attraction

This page was built for publication: Condensation in critical Cauchy Bienaymé-Galton-Watson trees