Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transcendental Julia Sets with Fractional Packing Dimension   We construct a family of transcendental entire functions whose Julia sets
have packing dimension in $(1,2)$. These are the first examples where the
computed packing dimension is not $1$ or $2$. Our construction will allow us
further show that the set of packing dimensions attained is dense in the
interval $(1,2)$, and that the Hausdorff dimension of the Julia sets can be
made arbitrarily close to the corresponding packing dimension.

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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: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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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: nucl-ex