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math-ph2013★ 2 cited
On lattices with finite Coulombian interaction energy in the plane
Yuxin Ge, Etienne Sandier
Given a discrete set in the plane (we will also say a {\em lattice}) and a real number , the renormalized energy introduced in \cite{ss1} heuristically describes the in…
math-ph2012
2D Coulomb Gases and the Renormalized Energy
Etienne Sandier, Sylvia Serfaty
We study the statistical mechanics of classical two-dimensional "Coulomb gases" with general potential and arbitrary β, the inverse of the temperature. Such ensembles also correspo…