52 citations · 173 across the 14 of their papers we have counts for
17 papers
Gradient Gibbs measures with non-convex potentials and the universality class of the Gaussian Free Field
Simon Buchholz, Codina Cotar, Florian Schweiger
We study a general class of gradient interface models with Hamiltonian , , assuming essentially that the potential is even, on $[0,\infty…
Aizenman-Wehr argument for a class of disordered gradient models
Simon Buchholz, Codina Cotar
We consider random gradient fields with disorder where the interaction potential on an edge can be expressed as $e^{-V_e(s)} = \int ρ(\mathrm{d}κ)\, e^{-κξ_e} e^{-\frac{κ…
Extremal decomposition for random Gibbs measures: From general metastates to metastates on extremal random Gibbs measures
Codina Cotar, Benedikt Jahnel, Christof Külske
The concept of metastate measures on the states of a random spin system was introduced to be able to treat the large-volume asymptotics for complex quenched random systems, like sp…
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…