Orbits on infinite surfaces stabilized by pseudo-Anosovs
Time and place
1 PM on Tuesday, May 17th, 2011; NAC 6-113
Martin Schmoll (Clemson University)
Abstract
Canceled. Martin's flight was canceled.
We start describing two infinite surfaces/billiards: The Ehrenfest Windtree model (billiard) and the folded plane, which is a half-translation surface essentially introduced by Panov. Those two models pretty much "look" the same, but carry very different dynamical behavior in certain directions. The unfolding of the Ehrenfest Windtree model and the folded plane are connected by a W-like covering diagram. If we fix certain parameters both surfaces contain the "same" pseudo-Anosov, the eigen-directions of which define path of very different bahavior: On one model such a path is escaping, on the other it is dense.
We describe the two models and the mechanism which gives the extremely different orbit behavior in the same direction.
This is joint work with Chris Johnson.
