| |
Topics in Teichmuller Theory and Kleinian Groups |
| November 12, 2007 to November 16, 2007 |
| Organized By: Jeff Brock, Ken Bromberg, Richard Canary, Howard Masur, Alan Reid, Maryam Mirzakhani, and John Smillie |
| |
| Parent Programs: |
| Teichmuller Theory and Kleinian Groups |
| |
| Return to Workshop Description |
| |
Slow divergence and Unique ergodicity
Wednesday November 14, 2007
10:30AM - 11:30AM
Speakers:
Yitwah Cheung
Abstract:
Unique ergodicity is generally implied by some form of
recurrence.
For example, a result of Masur asserts that a measured foliation is
uniquely
ergodic if the associated Teichm\"uller geodesic ray is recurrent when
projected
to moduli space. The converse is not true in general--there are are
uniquely
ergodic measured foliations associated to divergent Teichm\"uller
geodesic.
In this talk, I will discuss general conditions under which a slowly
divergent
Teichm\"uller geodesic is necessarily determined by a uniquely ergodic
measured foliation. This is joint work with Alex Eskin.
|
