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تسجيل مستخدم جديدTransport Proofs Of Some Discrete Variants Of The Pr{e}Kopa-leindler Inequality
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Nathael Gozlan
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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].
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