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math.MG2022
On the volume ratio of projections of convex bodies
Daniel Galicer, Alexander E. Litvak, Mariano Merzbacher +1
We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body we show that there is another convex body such that the volume rati…
math.FA2022
On the th linear polarization constant of
Damian Pinasco
We prove that given any set of unit vectors the inequality \[ \sup\limits_{\Vert x \Vert_{\mathbb R^n} =1} \vert \langle x, v_1 \rangle…