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math.SG2020
Applications of Grothendieck's inequality to linear symplectic geometry
Efim Gluskin, Shira Tanny
Recently in symplectic geometry there arose an interest in bounding various functionals on spaces of matrices. It appears that Grothendieck's theorems about factorization are a use…
math.SG2017
The Symplectic Size of a Randomly Rotated Convex Body
Efim D. Gluskin, Yaron Ostrover
In this note we study the expected value of certain symplectic capacities of randomly rotated centrally symmetric convex bodies in the classical phase space.
math.SG2015
Asymptotic Equivalence of Symplectic Capacities
Efim D. Gluskin, Yaron Ostrover
A long-standing conjecture states that all normalized symplectic capacities coincide on the class of convex subsets of . In this note we focus on an asymptotic (i…