Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy of holomorphic and rational maps: a survey   We give a brief survey on the entropy of holomorphic self maps $f$ of compact
K\"ahler manifolds, and rational dominating self maps
  $f$ of smooth projective varieties. We emphasize the connection between the
entropy and the spectral radii of the induced action of
  $f$ on the homology of the compact manifold. The main conjecture for the
rational maps states that modulo birational isomorphism all various notions of
entropy and the spectral radii are equal.

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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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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: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: math-ph