Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinantal processes with number variance saturation   Consider Dyson's Hermitian Brownian motion model after a finite time S, where
the process is started at N equidistant points on the real line. These N points
after time S form a determinantal process and has a limit as N tends to
infinity. This limting determinantal proceess has the interesting feature that
it shows number variance saturation. The variance of the number of particles in
an interval converges to a limiting value as the length of the interval goes to
infinity. Number variance saturation is also seen for example in the zeros of
the Riemann zeta function (Odlyzko, Berry). The process can also be constructed
using non-intersecting paths and we consider several variants of this
construction. One construction leads to a model which shows a transition from a
non-universal behaviour with number variance saturation to a universal
sine-kernel behaviour as we go up the line.

17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con