Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some convergence results on quadratic forms for random fields and
  application to empirical covariances   Limit theorems are proved for quadratic forms of Gaussian random fields in
presence of long memory. We obtain a non central limit theorem under a minimal
integrability condition, which allows isotropic and anisotropic models. We
apply our limit theorems and those of Ginovian (99) to obtain the asymptotic
behavior of the empirical covariances of Gaussian fields, which is a particular
example of quadratic forms. We show that it is possible to obtain a Gaussian
limit when the spectral density is not in $L^2$. Therefore the dichotomy
observed in dimension $d=1$ between central and non central limit theorems
cannot be stated so easily due to possible anisotropic strong dependence in
$d>1$.

4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas