Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularized inverse Brascamp--Lieb inequalities   Given any (forward) Brascamp--Lieb inequality on euclidean space, a famous
theorem of Lieb guarantees that gaussian near-maximizers always exist.
Recently, Barthe and Wolff used mass transportation techniques to establish a
counterpart to Lieb's theorem for all non-degenerate cases of the inverse
Brascamp--Lieb inequality. Here we build on work of Chen--Dafnis--Paouris and
employ heat-flow techniques to understand the inverse Brascamp--Lieb inequality
for certain regularized input functions, in particular extending the
Barthe--Wolff theorem to such a setting. Inspiration arose from work of
Bennett, Carbery, Christ and Tao for the forward inequality, as well as Wolff's
surprising observation that the gaussian saturation property for the inverse
Brascamp--Lieb inequality implies the gaussian saturation property for both the
forward Brascamp--Lieb inequality and Barthe's reverse Brascamp--Lieb
inequality.

24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol