Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic formalism of $GL_2(\mathbb{R})$-cocycles with canonical
  holonomies   We study singular value potentials of H\"older continuous
$GL_2(\mathbb{R})$-cocycles over hyperbolic systems whose canonical holonomies
converge and are H\"older continuous. Such cocycles include locally constant
$GL_2(\mathbb{R})$-cocycles as well as fiber-bunched
$GL_2(\mathbb{R})$-cocycles. We show that singular value potentials of
irreducible such cocycles have unique equilibrium states. Among the reducible
cocycles, we provide a characterization for cocycles whose singular value
potentials have more than one equilibrium states.

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The categories of this paper are: funct-an
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph