Scaling limits and fluctuations of a family of \(N\)-urn branching processes

DOI10.1214/23-bjps567zbMath1511.60129arXiv2208.03874OpenAlexW4367353924MaRDI QIDQ6155662

Lirong Ren, Xiaofeng Xue

Publication date: 5 June 2023

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.03874

zbMATH Keywords

scaling limitbranching processfluctuation

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Cites Work

• Unnamed Item
• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• Proofs of the martingale FCLT
• Strong approximation theorems for density dependent Markov chains
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• On the distribution of the hitting time for the \(N\)-urn Ehrenfest model

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