Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of random matrix dynamics   We discuss the concept of width-to-spacing ratio which plays the central role
in the description of local spectral statistics of evolution operators in
multiplicative and additive stochastic processes for random matrices. We show
that the local spectral properties are highly universal and depend on a single
parameter being the width-to-spacing ratio. We discuss duality between the
kernel for Dysonian Brownian motion and the kernel for the Lyapunov matrix for
the product of Ginibre matrices.

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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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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: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin