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math.SG2007
A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains
Shiri Artstein-Avidan, Yaron Ostrover
In this work we prove a Brunn-Minkowski-type inequality in the context of symplectic geometry and discuss some of its applications.
math.SG2006★ 4 cited
On Symplectic Capacities and Volume Radius
Shiri Artstein-Avidan, Yaron Ostrover
In this work we discuss a conjecture of Viterbo relating the symplectic capacity of a convex body and its volume. The conjecture states that among all 2n-dimensional convex bodies…
math.SG2006
The M-ellipsoid, Symplectic Capacities and Volume
Shiri Artstein-Avidan, Vitali D. Milman, Yaron Ostrover
In this work we bring together tools and ideology from two different fields, Symplectic Geometry and Asymptotic Geometric Analysis, to arrive at some new results. Our main result i…