Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spacing Statistics of Energy Spectra: Random Matrices, Black Hole
  Thermalization, and Echoes   Recent advances in AdS/CFT holography have suggested that the near-horizon
dynamics of black holes can be described by random matrix systems. We study how
the energy spectrum of a system with a generic random Hamiltonian matrix
affects its early and late time thermalization behaviour using the spectral
form factor (which captures the time-dependence of two-point correlation
functions). We introduce a simple statistical framework for generating random
spectra in terms of the nearest neighbor spacing statistics of energy
eigenvalues, enabling us to compute the averaged spectral form factor in a
closed form. This helps to easily illustrate how the spectral form factor
changes with different choices of nearest neighbor statistics ranging from the
Poisson to Wigner surmise statistics. We suggest that it is possible to have
late time oscillations in random matrix models involving $\beta$-ensembles
(generalizing classical Gaussian ensembles). We also study the form factor of
randomly coupled oscillator systems and show that at weak coupling, such
systems exhibit regular decaying oscillations in the spectral form factor
making them interesting toy models for gravitational wave echoes. We speculate
on the holographic interpretation of a system of coupled oscillators, and
suggest that they describe the thermalization behaviour of a black hole
geometry with a membrane that cuts off the geometry at the stretched horizon.

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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
3
The categories of this paper are: physics
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The categories of this paper are: nucl-th