Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: p-adic interpolation of iterates   Extending work of Bell and of Bell, Ghioca, and Tucker, we prove that for a
p-adic analytic self-map f on a closed unit polydisk, if every coefficient of
f(x)-x has valuation greater than that of p^{1/(p-1)}, then the iterates of f
can be p-adically interpolated; i.e., there exists a function g(x,n) analytic
in both x and n such that g(x,n) = f^n(x) whenever n is a nonnegative integer.

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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph