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Multimodal branched transport infers anatomically aligned brain reaction maps
Cristian Mendico
How external stimulation is transformed into distributed reaction patterns remains unresolved at the level of propagation architecture. Existing large-scale control models quantify…
Branched Optimal Transport for Stimulus to Reaction Brain Mapping
Cristian Mendico
A central problem in systems neuroscience is to determine how an external stimulation is propagated through the brain so as to produce a reaction. Current deterministic and stochas…
Periodic limit for non-autonomous Lagrangian systems and applications to a Kuramoto type model
Veronica Danesi, Cristian Mendico, Xuan Tao +1
This paper explores the asymptotic properties of non-autonomous Lagrangian systems, assuming that the associated Tonelli Lagrangian converges to a time-periodic function. Specifica…
Relaxed Lagrangian Approach to First-Order Non-Convex Mean Field Type Control Problem
Cristian Mendico, Kaizhi Wang, Yuchen Xu
This paper addresses the existence of equilibria for Mean Field type Control problems of first-order with non-convex action functional. Introducing a relaxed Lagrangian approach on…
A note on first order quasi-stationary Mean Field Games
Fabio Camilli, Claudio Marchi, Cristian Mendico
Quasi-stationary Mean Field Games models consider agents who base their strategies on current information without forecasting future states. In this paper we address the first-orde…
Analysis of the vanishing discount limit for optimal control problems in continuous and discrete time
Piermarco Cannarsa, Stephane Gaubert, Cristian Mendico +1
A classical problem in ergodic continuous time control consists of studying the limit behavior of the optimal value of a discounted cost functional with infinite horizon as the dis…