LORENTZ SPACE ESTIMATES FOR THE COULOMBIAN RENORMALIZED ENERGY
LORENTZ SPACE ESTIMATES FOR THE COULOMBIAN RENORMALIZED ENERGY
In this paper we obtain optimal estimates for the "currents" associated to point masses in the plane, in terms of the Coulombian renormalized energy of Sandier–Serfaty [From the Ginzburg–Landau model to vortex lattice problems, to appear in Comm. Math. Phys. (2012); One-dimensional log gases and the renormalized energy, in preparation]. …