Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit theorems for non-linear functionals of stationary Gaussian random
  fields   This is an extended version of a series of talks I held at the University of
Bochum in 2017 about limit theorems for non-linear functionals of stationary
Gaussian random fields.
  The goal of these talks was to give a fairly detailed introduction to the
theory leading to such results, even if some of the results are presented
without proof. On the other hand, I gave a simpler proof for some of the
results. (The proofs omitted from this text can be found in my Springer Lecture
Note Multiple Wiener--Ito Integrals.
  In this note first I discuss the spectral representation of the covariance
function of a Gaussian stationary rendom field by means of the spectral measure
and the representation of the elements of the random field by means of a random
integral with respect to the random spectral measure. Then I construct the
multiple random integrals with respect to the random spectral measure and prove
their most important properties. Finally I show some interesting applications
of these multiple random integrals. In particular, I prove some non-trivial
non-Gaussian limit theorems

8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas