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math.OC2025
The Monge--Kantorovich problem, the Schur--Horn theorem, and the diffeomorphism group of the annulus
Anthony M. Bloch, Tudor S. Ratiu
First, we analyze the discrete Monge--Kantorovich problem, linking it with the minimization problem of linear functionals over adjoint orbits. Second, we consider its generalizatio…
math.DS2025
Coupling Induced Stabilization of Network Dynamical Systems and Switching
Moise R. Mouyebe, Anthony M. Bloch
This paper investigates the stability and stabilization of diffusively coupled network dynamical systems. We leverage Lyapunov methods to analyze the role of coupling in stabilizin…