83 citations · 134 across the 29 of their papers we have counts for
4 papers · 1 filter
Bounds for Minkowski Billiard Trajectories in Convex Bodies
Shiri Artstein-Avidan, Yaron Ostrover
In this paper we use the Ekeland-Hofer-Zehnder symplectic capacity to provide several bounds and inequalities for the length of the shortest periodic billiard trajectory in a smoot…
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.
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…
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…