Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamical $u$-formalism I: measures of maximal $u$-entropy for
  maps that factor over Anosov   We construct measures of maximal $u$-entropy for any partially hyperbolic
diffeomorphism that factors over an Anosov torus automorphism and has mostly
contracting center direction. The space of such measures has a finite
dimension, and its extreme points are ergodic measures with pairwise disjoint
supports.

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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph