Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new characterization of quadratic transportation-information
  inequalities   It is known that a quadratic transportation-information inequality
$\mathrm{W_2I}$ interpolates between the Talagrand's inequality $\mathrm{W_2H}$
and the log-Sobolev inequality (LSI for short). The aim of the present paper is
threefold:
  (1) To prove the equivalence of $\mathrm{W_2I}$ and the Lyapunov condition,
which gives a new characterization inspired by Cattiaux-Guillin-Wu [8].
  (2) To prove the stability of $\mathrm{W_2I}$ under bounded perturbations,
which gives a transference principle in the sense of Holley-Stroock.
  (3) To prove $\mathrm{W_2H}$ through a restricted $\mathrm{W_2I}$, which
gives a counterpart of the restricted LSI presented by Gozlan-Roberto-Samson
[15].

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an