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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.OC2024
On the Local Controllability of a Class of Quadratic Systems
Moise R. Mouyebe, Anthony M. Bloch
The local controllability of a rich class of affine nonlinear control systems with nonhomogeneous quadratic drift and constant control vector fields is analyzed. The interest in th…