Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical Heights, Transfinite Diameters, and Polynomial Dynamics   Let phi(z) be a polynomial of degree at least 2 with coefficients in a number
field K. Iterating phi gives rise to a dynamical system and a corresponding
canonical height function, as defined by Call and Silverman. We prove a simple
product formula relating the transfinite diameters of the filled Julia sets of
phi over various completions of K, and we apply this formula to give a
generalization of Bilu's equidistribution theorem for sequences of points whose
canonical heights tend to zero.

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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn