Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rate of Growth of Distributionally Chaotic Functions   We investigate the permissible growth rates of functions that are
distributionally chaotic with respect to differentiation operators. We improve
on the known growth estimates for $D$-distributionally chaotic entire
functions, where growth is in terms of average $L^p$-norms on spheres of radius
$r>0$ as $r \to \infty$, for $1 \leq p \leq \infty$. We compute growth
estimates of $\partial/ \partial x_k$-distributionally chaotic harmonic
functions in terms of the average $L^2$-norm on spheres of radius $r>0$ as $r
\to \infty$. We also calculate sup-norm growth estimates of distributionally
chaotic harmonic functions in the case of the partial differentiation operators
$D^\alpha$.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: supr-con