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Equidistribution of points via energy

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Arkiv för Matematik

Abstract

We study the asymptotic equidistribution of points with discrete energy close to Robin’s constant of a compact set in the plane. Our main tools are the energy estimates from potential theory. We also consider the quantitative aspects of this equidistribution. Applications include estimates of growth for the Fekete and Leja polynomials associated with large classes of compact sets, convergence rates of the discrete energy approximations to Robin’s constant, and problems on the means of zeros of polynomials with integer coefficients.

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Authors and Affiliations

  1. Department of Mathematics, Oklahoma State University, Stillwater, OK, 74078-1058, U.S.A.

    Igor E. Pritsker

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  1. Igor E. Pritsker
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Correspondence to Igor E. Pritsker.

Additional information

Research was partially supported by the National Security Agency, and by the Alexander von Humboldt Foundation.

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Pritsker, I.E. Equidistribution of points via energy. Ark Mat 49, 149–173 (2011). https://doi.org/10.1007/s11512-010-0124-2

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  • DOI: https://doi.org/10.1007/s11512-010-0124-2

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