3 papers
math.PR2026
Sharp phase transition for percolation with short-range dependencies
Olivier Henry, Peter Mörters
We show sharpness of the phase transition for a nearest-neighbour percolation model on , where vertices carry independent types and the percolation probability of edge…
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…