Affirmative answer to a Lutwak-related question on affine quermassintegrals Φ_{[k]}(K) ≤ c √(n/k) for random polytopes, plus bounds for the ℓ₁ ball with implications for unconditional bodies.
Schneider, Convex Bodies: The Brunn-Minkowski Theory , Second expanded edition
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Affine quermassintegrals of random polytopes
Affirmative answer to a Lutwak-related question on affine quermassintegrals Φ_{[k]}(K) ≤ c √(n/k) for random polytopes, plus bounds for the ℓ₁ ball with implications for unconditional bodies.