TY - JOUR
T1 - A Remark on discrete Brunn-Minkowski type inequalities via transportation of measure
AU - Slomka, Boaz A
PY - 2020
Y1 - 2020
N2 - We give an alternative proof for discrete Brunn-Minkowski type inequalities, recently obtained by Halikias, Klartag and the author. This proof also implies somewhat stronger weighted versions of these inequalities. Our approach generalizes ideas of Gozlan, Roberto, Samson and Tetali from the theory of measure transportation and provides new displacement convexity of entropy type inequalities for the lattice point enumerator.
AB - We give an alternative proof for discrete Brunn-Minkowski type inequalities, recently obtained by Halikias, Klartag and the author. This proof also implies somewhat stronger weighted versions of these inequalities. Our approach generalizes ideas of Gozlan, Roberto, Samson and Tetali from the theory of measure transportation and provides new displacement convexity of entropy type inequalities for the lattice point enumerator.
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JO - arXiv preprint arXiv:2008.00738
JF - arXiv preprint arXiv:2008.00738
ER -