84 citations · 350 across the 33 of their papers we have counts for
4 papers · 2 filters
Spatial preferential attachment networks: Power laws and clustering coefficients
Emmanuel Jacob, Peter Mörters
We define a class of growing networks in which new nodes are given a spatial position and are connected to existing nodes with a probability mechanism favoring short distances and…
Emergence of condensation in Kingman's model of selection and mutation
Steffen Dereich, Peter Mörters
We describe the onset of condensation in the simple model for the balance between selection and mutation given by Kingman in terms of a scaling limit theorem. Loosely speaking, thi…
Galton-Watson trees with vanishing martingale limit
Nathanael Berestycki, Nina Gantert, Peter Morters +1
We show that an infinite Galton-Watson tree, conditioned on its martingale limit being smaller than $\eps$, agrees up to generation with a regular -ary tree, where is th…
On the most visited sites of planar Brownian motion
Valentina Cammarota, Peter Mörters
Let (B_t : t > 0) be a planar Brownian motion and define gauge functions for . If we show that almost surely there exists a point x in the plane s…