We give a transport proof of a discrete version of the displacement convexity
of entropy on integers (Z), and get, as a consequence, two discrete forms of
the Prékopa-Leindler Inequality : the Four Functions Theorem of Ahlswede
and Daykin on the discrete hypercube 1 and a recent result on Z due to
Klartag and Lehec 16.
Description
[1905.04038] Transport Proofs Of Some Discrete Variants Of The Pr{é}Kopa-leindler Inequality
%0 Journal Article
%1 gozlan2019transport
%A Gozlan, Nathael
%A Roberto, Cyril
%A Samson, Paul-Marie
%A Tetali, Prasad
%D 2019
%K mathematics probability proof-systems
%T Transport Proofs Of Some Discrete Variants Of The PréKopa-leindler
Inequality
%U http://arxiv.org/abs/1905.04038
%X We give a transport proof of a discrete version of the displacement convexity
of entropy on integers (Z), and get, as a consequence, two discrete forms of
the Prékopa-Leindler Inequality : the Four Functions Theorem of Ahlswede
and Daykin on the discrete hypercube 1 and a recent result on Z due to
Klartag and Lehec 16.
@article{gozlan2019transport,
abstract = {We give a transport proof of a discrete version of the displacement convexity
of entropy on integers (Z), and get, as a consequence, two discrete forms of
the Pr{\'e}kopa-Leindler Inequality : the Four Functions Theorem of Ahlswede
and Daykin on the discrete hypercube [1] and a recent result on Z due to
Klartag and Lehec [16].},
added-at = {2019-07-15T04:16:34.000+0200},
author = {Gozlan, Nathael and Roberto, Cyril and Samson, Paul-Marie and Tetali, Prasad},
biburl = {https://www.bibsonomy.org/bibtex/25f0e78358e3bb43fa071ea059900abbd/kirk86},
description = {[1905.04038] Transport Proofs Of Some Discrete Variants Of The Pr{é}Kopa-leindler Inequality},
interhash = {b07f6754bde837ca0890ae616476f973},
intrahash = {5f0e78358e3bb43fa071ea059900abbd},
keywords = {mathematics probability proof-systems},
note = {cite arxiv:1905.04038},
timestamp = {2019-07-15T04:17:35.000+0200},
title = {Transport Proofs Of Some Discrete Variants Of The Pr{\'e}Kopa-leindler
Inequality},
url = {http://arxiv.org/abs/1905.04038},
year = 2019
}