Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of point charges with small discrete energy   We study the asymptotic equidistribution of points near arbitrary compact
sets of positive capacity in $\R^d,\ d\ge 2$. Our main tools are the energy
estimates for Riesz potentials. We also consider the quantitative aspects of
this equidistribution in the classical Newtonian case. In particular, we
quantify the weak convergence of discrete measures to the equilibrium measure,
and give the estimates of convergence rates for discrete potentials to the
equilibrium potential.

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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat