论文标题
诺瑟·孔森（Kneser-Poulsen）周围的熵练习
Entropic exercises around the Kneser-Poulsen conjecture
论文作者
论文摘要
我们开发了一种信息理论方法来研究旋钮 - poulsen猜想在离散的几何形状中。这使我们提出了一个广泛的问题，即当汇率之一由$ 1 $ -Lipschitz地图签约时，独立金额的Rényi熵是否减少。在各种情况下，我们肯定地回答了这个问题。
We develop an information-theoretic approach to study the Kneser--Poulsen conjecture in discrete geometry. This leads us to a broad question regarding whether Rényi entropies of independent sums decrease when one of the summands is contracted by a $1$-Lipschitz map. We answer this question affirmatively in various cases.
