Parameterised branching processes: a functional version of Kesten \& Stigum theorem

DOI10.1016/j.spa.2022.06.010zbMath1506.60096arXiv2106.01426OpenAlexW4288059843WikidataQ113863836 ScholiaQ113863836MaRDI QIDQ2169076

Cécile Mailler, Jean-François Marckert

Publication date: 29 August 2022

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01426

zbMATH Keywords

Galton-Watson treesmartingale limit

Mathematics Subject Classification ID

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

Cites Work

• The functional equation of the smoothing transform
• The depth first processes of Galton-Watson trees converge to the same Brownian excursion
• The contraction method for recursive algorithms
• On a functional contraction method
• Functional limit theorems for multitype branching processes and generalized Pólya urns.
• Probability on Trees and Networks
• The growth and composition of branching populations
• On the convergence of supercritical general (C-M-J) branching processes
• Fixed points of a generalized smoothing transformation and applications to the branching random walk
• Branching Processes
• Scaling limits of random trees and planar maps
• On Recent Theorems Concerning the Supercritical Galton-Watson Process
• A Limit Theorem for Multidimensional Galton-Watson Processes
• Branching processes in biology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item