Thursday, July 11, 2013

1307.2621 (Yuxin Ge et al.)

On lattices with finite Coulombian interaction energy in the plane    [PDF]

Yuxin Ge, Etienne Sandier
Given a discrete set $\Lambda$ in the plane (we will also say a {\em lattice}) and a real number $m\ge 0$, the renormalized energy introduced in \cite{ss1} heuristically describes the interaction energy of unit charges placed at the points of $\Lambda$ with a uniform negative background of density $m\in\R$. It is defined in several steps, following mostly \cite{ss1}.
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