4 papers
Large deviation principle for friendship-biases in Galton--Watson trees
Frank den Hollander, Azadeh Parvaneh
In this paper we consider the friendship-bias of the vertices in an infinite rooted Galton--Watson tree. The friendship-bias of a vertex is the difference between the average degre…
Infection models on dense dynamic random graphs
Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1
We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence…
Opinion dynamics on dense dynamic random graphs
Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1
We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of tim…
A sample-path large deviation principle for dynamic Erdős-Rényi random graphs
Peter Braunsteins, Frank den Hollander, Michel Mandjes
We consider a dynamic Erdős-Rényi random graph (ERRG) on vertices in which each edge switches on at rate and switches off at rate , independently of other edges. The foc…