Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classification of postcritically finite Newton maps   The dynamical classification of rational maps is a central concern of
holomorphic dynamics. Much progress has been made, especially on the
classification of polynomials and some approachable one-parameter families of
rational maps; the goal of finding a classification of general rational maps is
so far elusive. Newton maps (rational maps that arise when applying Newton's
method to a polynomial) form a most natural family to be studied from the
dynamical perspective. Using Thurston's characterization and rigidity theorem,
a complete combinatorial classification of postcritically finite Newton maps is
given in terms of a finite connected graph satisfying certain explicit
conditions.

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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat