Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Sum of the Non-Negative Lyapunov Exponents for Some Cocycles
  Related to the Anderson Model   We provide an explicit lower bound for the the sum of the non-negative
Lyapunov exponents for some cocycles related to the Anderson model. In
particular, for the Anderson model on a strip of width $ W $ the lower bound is
proportional to $ W^{-\epsilon} $, for any $ \epsilon>0 $. This bound is
consistent with the fact that the lowest non-negative Lyapunov exponent is
conjectured to have a lower bound proportional to $ W^{-1} $.

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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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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: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph