Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absolute continuity and convergence of densities for random vectors on
  Wiener chaos   The aim of this paper is to establish some new results on the absolute
continuity and the convergence in total variation for a sequence of
d-dimensional vectors whose components belong to a finite sum of Wiener
chaoses. First we show that the probability that the determinant of the
Malliavin matrix of such vectors vanishes is zero or one, and this probability
equals to one is equivalent to say that the vector takes values in the set of
zeros of a polynomial. We provide a bound for the degree of this annihilating
polynomial improving a result by Kusuoka. On the other hand, we show that the
convergence in law implies the convergence in total variation, extending to the
multivariate case a recent result by Nourdin and Poly. This follows from an
inequality relating the total variation distance with the Fortet-Mourier
distance. Finally, applications to some particular cases are discussed.

20
The categories of this paper are: acc-phys
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
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th