Topics in Ergodic Theory III: Entropy.

Series: 
Dynamical Systems Working Seminar
Friday, March 14, 2014 - 13:05
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Institute of Technology
We introduce concepts of entropy and methods of calculation of entropy and examples. 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.