Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quantitative log-Sobolev inequality for a two parameter family of
  functions   We prove a sharp, dimension-free stability result for the classical
logarithmic Sobolev inequality for a two parameter family of functions. Roughly
speaking, our family consists of a certain class of log $C^{1,1}$ functions.
Moreover, we show how to enlarge this space at the expense of the dimensionless
constant and the sharp exponent. As an application we obtain new bounds on the
entropy.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci