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Let ! denote the classical equilibrium distribution (of total charge 1) on a convex or C1;-smooth conductor K in Rq with nonempty interior. Also, let !N be any Nth order \Fekete equilibrium distribution" on K, dened by N point charges 1=N at Nth order \Fekete points". (By denition such a distribution minimizes the energy for N-tuples of point charges 1=N on K.) We measure the approximation to ! by !N for N !1 by estimating the dierences in potentials and elds, U! U!N and E! E ! N ;

Approximation of the equilibrium distribution by distributions of equal point charges with minimal energy