Parabolic flows, renormalization and octagonal billiards

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, April 5, 2010 - 10:30am to 11:30am
Location: 
431 DL
Speaker: 
John Smillie
Speaker affiliation: 
Cornell
Event description: 

Given a billiard orbit in the square
which sides are hit in which order? This question
leads to the theory of Sturmian sequences. I will
describe joint work with Corinna Ulcigrai where we solve an
analogous problem for the regular octagon.
I will explain the connection between our work
and the general question of renormalization
techniques in parabolic dynamics