Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density convergence in the Breuer-Major theorem for Gaussian stationary
  sequences   Consider a Gaussian stationary sequence with unit variance $X=\{X_k;k\in
{\mathbb{N}}\cup\{0\}\}$. Assume that the central limit theorem holds for a
weighted sum of the form $V_n=n^{-1/2}\sum^{n-1}_{k=0}f(X_k)$, where $f$
designates a finite sum of Hermite polynomials. Then we prove that the uniform
convergence of the density of $V_n$ towards the standard Gaussian density also
holds true, under a mild additional assumption involving the causal
representation of $X$.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas