TY - JOUR
T1 - A remark on discrete Brunn–Minkowski type inequalities via transportation of measure
AU - Slomka, Boaz A.
N1 - Publisher Copyright:
© 2023, The Hebrew University of Jerusalem.
PY - 2024/6
Y1 - 2024/6
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 on the n-dimensional integer lattice.
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 on the n-dimensional integer lattice.
UR - http://www.scopus.com/inward/record.url?scp=85180264700&partnerID=8YFLogxK
U2 - 10.1007/s11856-023-2596-3
DO - 10.1007/s11856-023-2596-3
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AN - SCOPUS:85180264700
SN - 0021-2172
VL - 261
SP - 791
EP - 807
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -