From the 1 of 3 linked papers with an AI index.
3 papers
Mean-field optimal control with stochastic leaders
Sebastian Zimper, Ana Djurdjevac, Carsten Hartmann +2
The paper analyzes large stochastic agent systems steered by a few stochastic leaders, derives a partial mean‑field limit described by a coupled McKean‑Vlasov and controlled Itô SD…
Clustering in co-evolving opinion dynamics: reduced SPDE models
Sebastian Zimper, Nataša Djurdjevac Conrad, Federico Cornalba +1
Clustering is a fundamental collective phenomenon in agent-based models (ABMs) of opinion dynamics. To study clustering in systems with co-evolving social and opinion variables, we…
On reduced inertial PDE models for Cucker-Smale flocking dynamics
Sebastian Zimper, Federico Cornalba, Nataša Djurdjevac Conrad +1
In particle systems, flocking refers to the phenomenon where particles' individual velocities eventually align. The Cucker-Smale model is a well-known mathematical framework that d…