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math.PR2026
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…
math.PR2026
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…