Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral and Dynamical Properties of Certain Random Jacobi Matrices with
  Growing Parameters   In this paper, a family of random Jacobi matrices, with off-diagonal terms
that exhibit power-law growth, is studied. Since the growth of the randomness
is slower than that of these terms, it is possible to use methods applied in
the study of Schr\"odinger operators with random decaying potentials. A
particular result of the analysis is the existence of operators with
arbitrarily fast transport whose spectral measure is zero dimensional. The
results are applied to the infinite Gaussian $\beta$ Ensembles and their
spectral properties are analyzed.

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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
16
The categories of this paper are: stat