Title: Existence of two Reeb orbits

Abstract: We show that every (possibly degenerate) contact form on a 
closed three-manifold has at least two geometrically distinct Reeb orbits. 
The proof uses a relation between contact volume and the asymptotics of 
the amount of symplectic action needed to represent certain classes in 
embedded contact homology. This is joint work with Dan Cristofaro-Gardiner 
and Vinicius Gripp.