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math.MG2013
Remarks about Mixed Discriminants and Volumes
Shiri Artstein-Avidan, Dan Florentin, Yaron Ostrover
In this note we prove certain inequalities for mixed discriminants of positive semi-definite matrices, and mixed volumes of compact convex sets in n-dimensions. Moreover, we discus…
math.MG2013★ 83 cited
From Symplectic Measurements to the Mahler Conjecture
Shiri Artstein-Avidan, Roman Karasev, Yaron Ostrover
In this note we link symplectic and convex geometry by relating two seemingly different open conjectures: a symplectic isoperimetric-type inequality for convex domains, and Mahler'…