Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass transport and variants of the logarithmic Sobolev inequality   We develop the optimal transportation approach to modified log-Sobolev
inequalities and to isoperimetric inequalities. Various sufficient conditions
for such inequalities are given. Some of them are new even in the classical
log-Sobolev case. The idea behind many of these conditions is that measures
with a non-convex potential may enjoy such functional inequalities provided
they have a strong integrability property that balances the lack of convexity.
In addition, several known criteria are recovered in a simple unified way by
transportation methods and generalized to the Riemannian setting.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: cs
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin