Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotic properties of the spectrum of non symmetrically perturbed
  Jacobi matrix sequences   Under the mild trace-norm assumptions we show that the eigenvalues of a
generic (non Hermitian) complex perturbation of a Jacobi matrix sequence (not
necessarily real) are still distributed as the real-valued function $2\cos t$
on $[0,\pi]$, which characterizes the nonperturbed case. In this way the real
interval $[-2,2]$ is still a cluster for the asymptotic joint spectrum and,
moreover, $[-2,2]$ attracts strongly (with infinite order) the perturbed matrix
sequence. The results follow in a straightforward way from more general facts
that we prove in an asymptotic linear algebra framework and are plainly
generalized to the case of matrix-valued symbol, which arises when dealing with
orthogonal polynomials with asymptotically periodic recurrence coefficients.

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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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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: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess