Power laws for family sizes in a duplication model

DOI10.1214/009117905000000369zbMath1099.92055arXivmath/0406216OpenAlexW2114688231MaRDI QIDQ2368835

Jason Ross Schweinsberg, Richard T. Durrett

Publication date: 28 April 2006

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406216

zbMATH Keywords

multitype branching processesYule processesgenome sequencing

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Protein sequences, DNA sequences (92D20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Gibbs distributions for random partitions generated by a fragmentation process ⋮ Population genetics of neutral mutations in exponentially growing cancer cell populations ⋮ ABOUT THE GENE FAMILIES SIZE DISTRIBUTION IN A RECENT MODEL OF GENOME EVOLUTION ⋮ Further properties of a random graph with duplications and deletions ⋮ Nonexchangeable random partition models for microclustering ⋮ A coalescent model for the effect of advantageous mutations on the genealogy of a population

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