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Quantitative form of Balls Cube slicing in $mathbb{R}^n$ and equality cases in the min-entropy power inequality

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 نشر من قبل James Melbourne
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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We prove a quantitative form of the celebrated Balls theorem on cube slicing in $mathbb{R}^n$ and obtain, as a consequence, equality cases in the min-entropy power inequality. Independently, we also give a quantitative form of Khintchines inequality in the special case $p=1$.

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