Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation formula for the entropy and functional inequalities   We prove a stochastic formula for the Gaussian relative entropy in the spirit
of Borell's formula for the Laplace transform. As an application, we give
unified and short proofs of a number of functional inequalities.

4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom