Birth and death processes with neutral mutations
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Publication:1929677
DOI10.1155/2012/569081zbMath1261.92039arXiv1209.6205OpenAlexW2113567810WikidataQ58689567 ScholiaQ58689567MaRDI QIDQ1929677
Nicolas Champagnat, Amaury Lambert, Mathieu Richard
Publication date: 9 January 2013
Published in: International Journal of Stochastic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.6205
Related Items (9)
Mutations on a random binary tree with measured boundary ⋮ Mutational pattern of a sample from a critical branching population ⋮ Central limit theorem for supercritical binary homogeneous Crump-Mode-Jagers processes ⋮ Approximation of the allelic frequency spectrum in general supercritical branching populations ⋮ An accurate approximation for the expected site frequency spectrum in a Galton-Watson process under an infinite sites mutation model ⋮ Some properties of the conditioned reconstructed process with Bernoulli sampling ⋮ Splitting trees with neutral mutations at birth ⋮ Asymptotic Degree Distribution of a Duplication–Deletion Random Graph Model ⋮ Exact site frequency spectra of neutrally evolving tumors: a transition between power laws reveals a signature of cell viability
Cites Work
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- Traveling waves of selective sweeps
- Species abundance distributions in neutral models with immigration or mutation and general lifetimes
- Some independence results related to the arc-sine law
- Splitting trees with neutral Poissonian mutations. I: Small families
- Limit theorems for sums determined by branching and other exponentially growing processes
- The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations
- A limit theorem for trees of alleles in branching processes with rare neutral mutations
- Size-biased and conditioned random splitting trees
- Evolution of resistance and progression to disease during clonal expansion of cancer
- Universal features of surname distribution in a subsample of a growing population
- A branching process model of ovarian cancer
- Relaxing the zero-sum assumption in neutral biodiversity theory
- Splitting trees with neutral Poissonian mutations. II: Largest and oldest families
- The contour of splitting trees is a Lévy process
- The sampling theory of selectively neutral alleles
- Limit theorems for supercritical age-dependent branching processes with neutral immigration
- Birth-and-death processes, and the theory of carcinogenesis
- The growth and composition of branching populations
- Multitype Bienaymé–Galton–Watson processes escaping extinction
- An infinite-alleles version of the simple branching process
- On the convergence of supercritical general (C-M-J) branching processes
- Splitting Trees Stopped when the First Clock Rings and Vervaat's Transformation
- Some birth-death and mutation models for phage reproduction
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