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math.PR2025
The largest subcritical component in inhomogeneous random graphs of preferential attachment type
Peter Mörters, Nick Schleicher
We identify the size of the largest connected component in a subcritical inhomogeneous random graph with a kernel of preferential attachment type. The component is polynomial in th…
math.PR2025
Branching with selection and mutation II: Mutant fitness of Gumbel type
Su-Chan Park, Joachim Krug, Peter Mörters
We study a model of a branching process subject to selection, modeled by giving each family an individual fitness acting as a branching rate, and mutation, modeled by resampling th…