Convergence to the coalescent with simultaneous multiple mergers
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Publication:4819500
DOI10.1239/jap/1067436085zbMath1052.92044OpenAlexW2002058096MaRDI QIDQ4819500
Publication date: 27 September 2004
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/2b579e712f9343aac60c90146f81701e960b83c4
Central limit and other weak theorems (60F05) Problems related to evolution (92D15) Signal detection and filtering (aspects of stochastic processes) (60G35) Functional limit theorems; invariance principles (60F17)
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Cites Work
- Unnamed Item
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- Unnamed Item
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- The coalescent
- On Ruelle's probability cascades and an abstract cavity method
- Coalescents with multiple collisions
- Coalescents with simultaneous multiple collisions
- Particle representations for measure-valued population models
- A classification of coalescent processes for haploid exchangeable population models
- Coalescent patterns in diploid exchangeable population models
- A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity
- Robustness results for the coalescent
- The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
- The general coalescent with asynchronous mergers of ancestral lines