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Extremal Polarization Configurations for Integrable Kernels (1507.04813v1)
Published 17 Jul 2015 in math.CA
Abstract: Our main result shows that if a lower-semicontinuous kernel K satisfies some mild additional hypotheses, then asympotitically polarization optimal configurations are precisely those that are asymptotically distributed according to the equilibrium measure for the corresponding minimum energy problem.
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