## Bounds for Minkowski Billiard Trajectories in Convex Bodies

- Shiri Artstein-Avidan, Yaron Ostrover
- 2013

@inproceedings{ArtsteinAvidan2008ABI, title={A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains}, author={Shiri Artstein-Avidan and Yaron Ostrover}, year={2008} }

- Published 2008

In this note we examine the classical Brunn–Minkowski inequality in the context of symplectic geometry. Instead of considering volume, as in the original inequality, the quantity we are interested in is a symplectic capacity, given by the minimal symplectic area of a closed characteristic on the boundary of a convex domain. To explain the setting, the main results, and their significance, we start with an introduction.