Asymptotics of Symmetric Compound Poisson Population Models

DOI10.1017/S0963548314000431zbMath1371.60173MaRDI QIDQ5364221

Martin Möhle, Thierry E. Huillet

Publication date: 4 October 2017

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Exchangeability for stochastic processes (60G09)

Related Items (6)

Asymptotic genealogies for a class of generalized Wright-Fisher models ⋮ The height of the latest common ancestor of two randomly chosen leaves from a (sub-)critical Galton-Watson tree ⋮ Wright–Fisher-like models with constant population size on average ⋮ On the size of the block of 1 for \(\varXi\)-coalescents with dust ⋮ Pareto genealogies arising from a Poisson branching evolution model with selection ⋮ On the genealogy and coalescence times of Bienaymé–Galton–Watson branching processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coalescent processes derived from some compound Poisson population models
• Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
• On the extended Moran model and its relation to coalescents with multiple collisions
• An asymptotic formula for the exponential polynomials and a central limit theorem for their coefficients
• The coalescent
• Coalescents with simultaneous multiple collisions
• A classification of coalescent processes for haploid exchangeable population models
• Gibbs distributions for random partitions generated by a fragmentation process
• Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models
• Population Genetics Models with Skewed Fertilities: A Forward and Backward Analysis
• Correction on ‘Population Genetics Models with Skewed Fertilities: A Forward and Backward Analysis’
• Convergence to the coalescent with simultaneous multiple mergers
• DIRECT PRODUCT BRANCHING PROCESSES AND RELATED MARKOV CHAINS

This page was built for publication: Asymptotics of Symmetric Compound Poisson Population Models