15 citations · 27 across the 7 of their papers we have counts for
4 papers · 1 filter
A Short Proof of Strassen's Theorem Using Convex Analysis
Benjamin Armbruster
We give a simple proof of Strassen's theorem on stochastic dominance using linear programming duality, without requiring measure-theoretic arguments. The result extends to generali…
A simple and general proof for the convergence of Markov processes to their mean-field limits
Benjamin Armbruster
Mean-field models approximate large stochastic systems by simpler differential equations that are supposed to approximate the mean of the larger system. It is generally assumed tha…
An elementary proof of convergence to the mean-field equations for an epidemic model
Benjamin Armbruster, Ekkehard Beck
It is common to use a compartmental, fluid model described by a system of ordinary differential equations (ODEs) to model disease spread. In addition to their simplicity, these mod…
Dynamic Network Models
Benjamin Armbruster, John Gunnar Carlsson
We analyze random networks that change over time. First we analyze a dynamic Erdos-Renyi model, whose edges change over time. We describe its stationary distribution, its convergen…