3 citations · 3 across the 4 of their papers we have counts for
5 papers
Predicting First Passage Percolation Shapes Using Neural Networks
Sebastian Rosengren
Many random growth models have the property that the set of discovered sites, scaled properly, converges to some deterministic set as time grows. Such results are known as shape th…
The initial set in the frog model is irrelevant
Maria Deijfen, Sebastian Rosengren
In this note, we consider the frog model on and a two-type version of it with two types of particles. For the one-type model, we show that the asymptotic shape does…
The tail does not determine the size of the giant
Maria Deijfen, Sebastian Rosengren, Pieter Trapman
The size of the giant component in the configuration model, measured by the asymptotic fraction of vertices in the component, is given by a well-known expression involving the gene…
A Multi-type Preferential Attachment Tree
Sebastian Rosengren
A multi-type preferential attachment tree is introduced, and studied using general multi-type branching processes. For the -type case we derive a framework for studying the tree…
A Dynamic Erdős-Rényi Graph Model
Sebastian Rosengren, Pieter Trapman
In this article we introduce a dynamic Erdős-Rényi graph model, in which, independently for each vertex pair, edges appear and disappear according to a Markov on-off process. In st…