84 citations · 350 across the 33 of their papers we have counts for
34 papers · 1 filter
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…
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…
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…
Condensation in scale-free geometric graphs with excess edges
Remco van der Hofstad, Pim van der Hoorn, Céline Kerriou +2
We identify the upper large deviation probability for the number of edges in scale-free geometric random graph models as the space volume goes to infinity. Our result covers the mo…
The Contact Process on a Graph Adapting to the Infection
John Fernley, Peter Mörters, Marcel Ortgiese
We show existence of a non-trivial phase transition for the contact process, a simple model for infection without immunity, on a network which reacts dynamically to the infection t…
A two-table theorem for a disordered Chinese restaurant process
Jakob E. Björnberg, Cécile Mailler, Peter Mörters +1
We investigate a disordered variant of Pitman's Chinese restaurant process where tables carry i.i.d. weights. Incoming customers choose to sit at an occupied table with a probabili…