Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chebyshev polynomials on generalized Julia sets   Let $(f_n)_{n=1}^\infty$ be a sequence of nonlinear polynomials satisfying
some mild conditions. Furthermore, let $F_m(z)=(f_m\circ f_{m-1}\ldots \circ
f_1)(z)$ and $\rho_m$ be the leading coefficient for $F_m$. It is shown that on
the Julia set $J_{(f_n)}$, the Chebyshev polynomial of the degree deg${F_m}$ is
of the form $F_m(z)/\rho_m-\tau_m$ for all $m\in\mathbb{N}$ where
$\tau_m\in\mathbb{C}$. This generalizes the result obtained for autonomous
Julia sets.

10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: physics
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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: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ