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We give a brief overview of several classic and recent discrete analogues of the well-known Brunn-Minkowski inequality, both for the cardinality and for the lattice point enumerator measures. We also present some recently conceived extensions to the \(L_p\) setting.

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On Some New Discrete Variations of the Brunn-Minkowski Inequality

  • 会议论文

  • 发表日期：

    2026年

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  • Eduardo Lucas

摘要

We give a brief overview of several classic and recent discrete analogues of the well-known Brunn-Minkowski inequality, both for the cardinality and for the lattice point enumerator measures. We also present some recently conceived extensions to the \(L_p\) setting.