Dual Loomis-Whitney inequalities via information theory
ENTROPY, pp. 3067-3071, 2019.
We establish lower bounds on the volume and the surface area of a geometric body using the size of its slices along different directions. In the first part of the paper, we derive volume bounds for convex bodies using generalized subadditivity properties of entropy combined with entropy bounds for log-concave random variables. In the seco...More
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