Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Infinite Family of Cubics with Emergent Reducibility at Depth 1   A polynomial f(x) has emergent reducibility at depth n if f^{\circ k}(x) is
irreducible for 0\leq k\leq n-1 but f^{\circ n}(x) is reducible. In this paper
we prove that there are infinitely many irreducible cubics f \in \mathbb{Z}[x]
with f\circ f reducible by exhibiting a one parameter family with this
property.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th