## Dynamics Learning Seminar

These seminars are for learning interesting and exciting topics in Dynamical Systems.

### Yoccoz renormalization

by Artem Dudko | University of Toronto
Time: 14:00  (Friday, Oct. 14, 2011)
Location: BA6180, Bahen Center, 40 St. George St.
Abstract:
In this talk I will describe the Yoccoz's renormalization construction for germs with irrationally indifferent fixed point at the origin. Siegel and Brjuno proved that any germ f(z)=a_1z+a_2z^2+... with a_1 a Brjuno number is linearizable at the origin. Using the renormalization idea I will sketch a proof of the Yoccoz's lower bound for the radius of the corresponding Siegel disk.

#### Dates in this series

· Monday, Sep. 26, 2011: On linearization of holomorphic maps with an irrationally indifferent fixed point (Liudmyla Kadets)
· Monday, Oct. 03, 2011: On Siegel's linearization theorem. (Liudmyla Kadets)
· Friday, Oct. 14, 2011: Yoccoz renormalization (Artem Dudko)