论文标题
关于通过措施运输的离散Brunn-Minkowski类型不平等的评论
A Remark on discrete Brunn-Minkowski type inequalities via transportation of measure
论文作者
论文摘要
我们为离散的Brunn-Minkowski型不平等提供了替代证明，该不平等现象是Halikias，Klartag和作者获得的。该证明还意味着这些不平等的加权版本更强。我们的方法概括了Gozlan，Roberto，Samson和Tetali的思想，从衡量运输理论中，为晶格点枚举者提供了熵类型不平等的新位移凸度。
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.
