Thursday, May 31, 2018
3:00 PM -
4:00 PM
Building 15, Room 131
Logic Seminar
Series: Logic Seminar Series
Failure of the L^1 pointwise ergodic theorem for PSL_2(R)
A 2015 example of Tao showed that the pointwise ergodic theorem for nonabelian free groups can fail for L^1 functions. This is in contrast to the situation for L^p, p >1.
We will present joint work with Lewis Bowen showing that this endpoint phenomenon also occurs for PSL_2(R). The proof involves analyzing the geodesic flow on an appropriately constructed hyperbolic surface.
Event Sponsors:
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].