93 citations · 187 across the 31 of their papers we have counts for
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Crystallization for Coulomb and Riesz Interactions as a Consequence of the Cohn-Kumar Conjecture
Mircea Petrache, Sylvia Serfaty
The Cohn-Kumar conjecture states that the triangular lattice in dimension 2, the lattice in dimension 8, and the Leech lattice in dimension 24 are universally minimizing in t…
Optimal and non-optimal lattices for non-completely monotone interaction potentials
Laurent Bétermin, Mircea Petrache
We investigate the minimization of the energy per point among -dimensional Bravais lattices, depending on the choice of pairwise potential equal to a radially symmetric f…
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…
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…
Equidistribution of jellium energy for Coulomb and Riesz Interactions
Mircea Petrache, Simona Rota Nodari
For general dimension we prove the equidistribution of energy at the micro-scale in , for the optimal point configurations appearing in Coulomb gases at zero tempe…
Next Order Asymptotics and Renormalized Energy for Riesz Interactions
Mircea Petrache, Sylvia Serfaty
We study systems of points in the Euclidean space of dimension interacting via a Riesz kernel and confined by an external potential, in the regime where $d…