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- W2305110135 abstract "We consider a Yule process until the total population reaches size $ngg 1$, and assume that neutral mutations occur with high probability $1-p$ (in the sense that each child is a new mutant with probability $1-p$, independently of the other children), where $p=p_nll 1$. We establish a general strategy for obtaining Poisson limit laws for the number of subpopulations exceeding a given size and apply this to some mutation regimes of particular interest. Finally, we give an application to subcritical Bernoulli bond percolation on random recursive trees with percolation parameter $p_n$ tending to zero." @default.
- W2305110135 created "2016-06-24" @default.
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- W2305110135 date "2016-03-21" @default.
- W2305110135 modified "2023-09-23" @default.
- W2305110135 title "Weak limits for the largest subpopulations in Yule processes with high mutation probabilities" @default.
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- W2305110135 hasPublicationYear "2016" @default.
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