Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Herman-Avila-Bochi formula for higher dimensional pseudo-unitary and
  hermitian-symplectic cocycles   A Herman-Avila-Bochi type formula is obtained for the average sum of the top
d Lyapunov exponents over a one-parameter family of G-cocycles, where G is the
group that leaves a certain, non-degenerate hermitian form of signature (c,d)
invariant. The generic example of such a group is the pseudo-unitary group
U(c,d) or in the case c=d, the hermitian-symplectic group HSp(2d) which
naturally appears for cocycles related to Schr\"odinger operators. In the case
d=1, the formula for HSp(2d) cocycles reduces to the Herman-Avila-Bochi formula
for SL(2,R) cocycles.

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The categories of this paper are: nlin
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The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th