The subadditive ergodic theorem

Dynamical Systems Working Seminar
Friday, March 7, 2014 - 13:00
1 hour (actually 50 minutes)
Skiles 05
Georgia Tech
We will present a  proof of the subadditive ergodic theorem. 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.