52 citations · 173 across the 14 of their papers we have counts for
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Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Coulomb and Riesz potentials
Codina Cotar, Mircea Petrache
We consider two sharp next-order asymptotics problems, namely the asymptotics for the minimum energy for optimal point configurations and the asymptotics for the many-marginals Opt…
Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional
Codina Cotar, Gero Friesecke, Claudia Klüppelberg
We prove rigorously that the exact N-electron Hohenberg-Kohn density functional converges in the strongly interacting limit to the strictly correlated electrons (SCE) functional, a…
Next-order asymptotic expansion for N-marginal optimal transport with Coulomb and Riesz costs
Codina Cotar, Mircea Petrache
Motivated by a problem arising from Density Functional Theory, we provide the sharp next-order asymptotics for a class of multimarginal optimal transport problems with cost given b…
Infinite-body optimal transport with Coulomb Cost
Codina Cotar, Gero Friesecke, Brendan Pass
We introduce and analyze symmetric infinite-body optimal transport (OT) problems with cost function of pair potential form. We show that for a natural class of such costs, the opti…
Strict convexity of the free energy for non-convex gradient models at moderate
Codina Cotar, Jean-Dominique Deuschel, Stefan Müller
We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. We show using a one-step multiple scale a…