%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 }