Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional affine-isoperimetry and an inverse logarithmic Sobolev
  inequality   We give a functional version of the affine isoperimetric inequality for
log-concave functions which may be interpreted as an inverse form of a
logarithmic Sobolev inequality inequality for entropy. A linearization of this
inequality gives an inverse inequality to the Poincar'e inequality for the
Gaussian measure.

7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs