Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total variation distance between two double Wiener-It\^o integrals   Using an approach recently developed by Nourdin and Poly, we improve the rate
in an inequality for the total variation distance between two double
Wiener-It\^o integrals originally due to Davydov and Martynova. An application
to the rate of convergence of a functional of a correlated two-dimensional
fractional Brownian motion towards the Rosenblatt random variable is then
given, following a previous study by Maejima and Tudor.

11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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
20
The categories of this paper are: acc-phys