15 citations · 27 across the 7 of their papers we have counts for
4 papers · 1 filter
Forward Reachable Sets: Analytically derived properties of connected components for dynamic networks
Benjamin Armbruster, Li Wang, Martina Morris
Formal analysis of the emergent structural properties of dynamic networks is largely uncharted territory. We focus here on the properties of forward reachable sets (FRS) as a funct…
Optimal timing of cross-sectional network samples in longitudinal network studies
Ekkehard Beck, Benjamin Armbruster
When choosing the timing of cross-sectional network snapshots in longitudinal social network studies, the effect on the precision of parameter estimates generally plays a minor rol…
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…