Reduced Branching Processes with Very Heavy Tails

DOI10.1239/jap/1208358961zbMath1136.60361arXiv0710.2755OpenAlexW2002743889MaRDI QIDQ5459918

Serik Sagitov, Andreas Nordvall Lagerås

Publication date: 30 April 2008

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

Full work available at URL: https://arxiv.org/abs/0710.2755

zbMATH Keywords

regular variationheavy tailcritical branching processreduced branching process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional Distributions ⋮ Universality classes for the coalescent structure of heavy-tailed Galton-Watson trees ⋮ Reduced Critical Branching Processes for Small Populations

Cites Work

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• Coalescents with multiple collisions
• Reduced Branching Processes
• The Structure of Reduced Critical GALTON-WATSON Processes
• Limiting Distributions of the Distance to the Closest Common Ancestor
• The general coalescent with asynchronous mergers of ancestral lines
• The Critical Galton-Watson Process Without Further Power Moments
• A branching process with mean one and possibly infinite variance
• The Galton-Watson process with infinite mean
• The simple branching process with infinite mean. I

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