64 citations · 179 across the 19 of their papers we have counts for
22 papers
Critical percolation on preferential attachment graphs with infinite variance
Peter Mörters, Lucas Schätze
We study the inhomogeneous random graph with preferential attachment kernel and degree distribution with power-law exponent as a representative of the class of graphs o…
The critical percolation window in growing random graphs
Joost Jorritsma, Pascal Maillard, Peter Mörters
We describe the critical window for percolation in the universality class of sparse growing random graphs. In our models, vertices arrive sequentially and connect independently to…
Crossing probabilities in geometric inhomogeneous random graphs
Emmanuel Jacob, Céline Kerriou, Amitai Linker +1
In a geometric inhomogeneous random graph vertices are given by the points of a Poisson process and are equipped with independent weights following a heavy tailed distribution. Any…
Robustness in the Poisson Boolean model with convex grains
Peter Gracar, Marilyn Korfhage, Peter Mörters
We study the Poisson Boolean model where the grains are random convex bodies with a rotation-invariant distribution. A grain distribution is dense if the union of the grains covers…
Metastability of the contact process on slowly evolving scale-free networks
Emmanuel Jacob, Amitai Linker, Peter Mörters
We investigate the contact process on scale-free networks evolving by a stationary dynamics whereby each vertex independently updates its connections with a rate depending on its p…
A path formula for the sock sorting problem
Simon Korbel, Peter Mörters
Suppose different pairs of socks are put in a tumble dryer. When the dryer is finished socks are taken out one by one, if a sock matches one of the socks on the sorting table b…