Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wigner law for matrices with dependent entries - a perturbative approach   We show that Wigner semi-circle law holds for Hermitian matrices with
dependent entries, provided the deviation of the cumulants from the normalised
Gaussian case obeys a simple power law bound in the size of the matrix. To
establish this result, we use replicas interpreted as a zero-dimensional
quantum field theoretical model whose effective potential obey a
renormalisation group equation.

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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin