52 citations · 173 across the 14 of their papers we have counts for
Showing 2017 · math-phShow all
3 papers · 2 filters
math-ph2017★ 12 cited
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…
math-ph2017★ 52 cited
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…
math-ph2017
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…