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math.AP2026
PDE aspects of the dynamical optimal transport in the Lorentzian setting
Nicola Gigli, Felix Rott, Matteo Zanardini
One of the crucial features of optimal transport on Riemannian manifolds is the equivalence of the `static', original, formulation of the problem and of the `dynamic' one, based on…
math.AP2024
Microstructures and anti-phase boundaries in long-range lattice systems
Andrea Braides, Edoardo Voglino, Matteo Zanardini
We study the effect of long-range interactions in non-convex one-dimensional lattice systems in the simplified yet meaningful assumption that the relevant long-range interactions a…