Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonperturbative theory of power spectrum in complex systems   The power spectrum analysis of spectral fluctuations in complex wave and
quantum systems has emerged as a useful tool for studying their internal
dynamics. In this paper, we formulate a nonperturbative theory of the power
spectrum for complex systems whose eigenspectra -- not necessarily of the
random-matrix-theory (RMT) type -- posses stationary level spacings. Motivated
by potential applications in quantum chaology, we apply our formalism to
calculate the power spectrum in a tuned circular ensemble of random $N \times
N$ unitary matrices. In the limit of infinite-dimensional matrices, the exact
solution produces a universal, parameter-free formula for the power spectrum,
expressed in terms of a fifth Painlev\'e transcendent. The prediction is
expected to hold universally, at not too low frequencies, for a variety of
quantum systems with completely chaotic classical dynamics and broken
time-reversal symmetry. On the mathematical side, our study brings forward a
conjecture for a double integral identity involving a fifth Painlev\'e
transcendent.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph