Logarithm laws for unipotent flows

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, February 11, 2008 - 11:30am to Sunday, February 10, 2008 - 7:00pm
Location: 
431 DL
Speaker: 
Jayadev Athreya
Speaker affiliation: 
Princeton University
Event description: 

In joint work with G. Margulis, we prove a logarithm law describing the statistical behavior of excursions into the cusp for unipotent flows on the space of unimodular lattices in R^n.

One of the main tools in our proof is a measurable analogue of the Minkowski convex body theorem which may be of independent interest.