Topics in Ergodic Theory VI: Oseledets Theorem.

Series: 
Dynamical Systems Working Seminar
Friday, April 11, 2014 - 13:05
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Tech
We finish our discussion on  Oseledets Theorem by proving the convergence of the filtration. This is part of a reading seminar geared towards understanding of Smooth Ergodic Theory. (The study of dynamical systems using at the same time tools from measure theory and from differential geometry)It should be accesible to graduate students and the presentation is informal. The first goal will be a proof of the Oseledets multiplicative ergodic theorem for random matrices. Then, we will try to cover the Pesin entropy formula, invariant manifolds, etc.