The sequential loss of allelic diversity

DOI10.1017/apr.2018.67zbMath1432.92060arXiv1801.00683OpenAlexW2781733915MaRDI QIDQ5215050

Amaury Lambert, Guillaume Achaz, Emmanuel Schertzer

Publication date: 5 February 2020

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

Full work available at URL: https://arxiv.org/abs/1801.00683

zbMATH Keywords

population geneticsextinctioncoalescentintertwiningurn model\(\Lambda\)-Fleming-Viotlook-down

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10) Exchangeability for stochastic processes (60G09)

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Cites Work

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• Coalescents with multiple collisions
• Particle representations for measure-valued population models
• A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity
• From flows of \(\Lambda\)-Fleming-Viot processes to lookdown processes via flows of partitions
• The general coalescent with asynchronous mergers of ancestral lines
• Markov functions

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