10 papers
Long-time behavior of generalized gradient flows of solutions to Hamilton-Jacobi equations
Paolo Albano, Piermarco Cannarsa, Wei Cheng +1
We study the long-time behavior of the generalized gradient flow associated with solutions of the critical Hamilton-Jacobi equation for mechanical Hamiltonians on the flat torus. F…
Semi-Discrete Approximation of Aubry and Mather sets
Fabio Camilli, Cristian Mendico
We study the semi-discrete approximation of Aubry and Mather sets for Tonelli Lagrangians on the flat torus. Starting from the discrete Lax--Oleinik equation, we introduce natural…
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…
Discretization and Vanishing Discount Problems for First-order Mean Field Games
Renato Iturriaga, Cristian Mendico, Kaizhi Wang +1
This article focuses two issues related to the first-order discounted mean field games system. The first is the time discretization problem. The time discretization approach enable…