Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: THE GRISHCHUK-ZELDOVICH EFFECT IN THE OPEN UNIVERSE   When considering perturbations in an open universe, cosmologists retain only
sub-curvature modes (defined as eigenfunctions of the Laplacian whose
eigenvalue is less than $-1$ in units of the curvature scale, in contrast with
the super-curvature modes whose eigenvalue is between $-1$ and $0$).
Mathematicians have known for almost half a century that all modes must be
included to generate the most general {\em homogeneous Gaussian random field},
despite the fact that any square integrable {\em function} can be generated
using only the sub-curvature modes. The former mathematical object, not the
latter, is the relevant one for physical applications. This article summarizes
recent work with A. Woszczyna. The mathematics is briefly explained in a
language accessible to physicists. Then the effect on the cmb of any
super-curvature contribution is considered, which generalizes to $\Omega_0<1$
the analysis given by Grishchuk and Zeldovich in 1978.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex