Random permutations and neutral evolution models

DOI10.1016/0304-4149(90)90094-9zbMath0727.92018OpenAlexW1992318820MaRDI QIDQ804503

Paul Joyce, Simon Tavaré

Publication date: 1990

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(90)90094-9

zbMATH Keywords

immigrationgenealogical structurebranching treescycles of permutationsneutral evolution modelspermutation-valued Markov process

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85)

Cites Work

• Cycles, permutations and the stucture of the Yule process with immigration
• Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
• The sampling theory of neutral alleles and an urn model in population genetics
• The coalescent
• The sampling theory of selectively neutral alleles
• The ages of alleles and a coalescent
• The probabilities of rooted tree-shapes generated by random bifurcation
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