Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A method for calculating spectral statistics based on random-matrix
  universality with an application to the three-point correlations of the
  Riemann zeros   We illustrate a general method for calculating spectral statistics that
combines the universal (Random Matrix Theory limit) and the non-universal
(trace-formula-related) contributions by giving a heuristic derivation of the
three-point correlation function for the zeros of the Riemann zeta function.
The main idea is to construct a generalized Hermitian random matrix ensemble
whose mean eigenvalue density coincides with a large but finite portion of the
actual density of the spectrum or the Riemann zeros. Averaging the random
matrix result over remaining oscillatory terms related, in the case of the zeta
function, to small primes leads to a formula for the three-point correlation
function that is in agreement with results from other heuristic methods. This
provides support for these different methods. The advantage of the approach we
set out here is that it incorporates the determinental structure of the Random
Matrix limit.

34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat