Manh Hong Duong

Multi-species McKean–Vlasov dynamics in non-convex landscapes

Abstract In this paper, we study multi-species stochastic interacting particle systems and their mean-field McKean–Vlasov partial differential equations (PDEs) in non-convex landscapes. Under general assumptions on non-convex confining and interaction potentials with polynomial g...

GENERIC Formulation and Small-Angle Limit for Kinetic Wave Equations

Abstract In this paper, we formulate the three-wave and four-wave kinetic equations into the GENERIC framework and formally derive a small-angle limit for the four-wave equation. This limit is akin to the well-known grazing limit from the kinetic Boltzmann equation to the kinetic...

Social welfare optimisation under institutional reward and punishment

Institutional incentives are widely used to promote cooperation among autonomous, self-regarding agents, from human societies to multi-agent and AI systems. Existing work typically treats incentive design as a bi-objective problem: minimise institutional cost while achieving a hi...