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math.PR2020
Limit theorems for continuous-state branching processes with immigration
Clément Foucart, Chunhua Ma, Linglong Yuan
We prove and extend some results stated by Mark Pinsky: Limit theorems for continuous state branching processes with immigration [Bull. Amer. Math. Soc. 78(1972), 242--244]. Consid…
math.PR2020★ 5 cited
Kingman's model with random mutation probabilities: convergence and condensation II
Linglong Yuan
Kingman's model describes the evolution of a one-locus haploid population of infinite size and discrete generations under the competition of selection and mutation. A random genera…
math.PR2020
Kingman's model with random mutation probabilities: convergence and condensation I
Linglong Yuan
For a one-locus haploid infinite population with discrete generations, the celebrated Kingman's model describes the evolution of fitness distributions under the competition of sele…