Mircea Petrache

activity

20092026

most citedNext Order Asymptotics and Renormalized Energy for Riesz Interactions

93 citations · 187 across the 31 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math-ph2016★ 2 cited

Equidistribution of jellium energy for Coulomb and Riesz Interactions

Mircea Petrache, Simona Rota Nodari

For general dimension $d$ we prove the equidistribution of energy at the micro-scale in $R^{d}$ , for the optimal point configurations appearing in Coulomb gases at zero tempe…

math.CA2016★ 26 cited

Dimension reduction techniques for the minimization of theta functions on lattices

Laurent Bétermin, Mircea Petrache

We consider the minimization of theta functions $θ_Λ (α) = \sum_p \in Λ e^{- π α ∣ p ∣^{2}}$ amongst lattices $Λ \subset R^{d}$ , by reducing the dimension of the problem, following as…