Topics in Ergodic Theory V: Oseledets Theorem.

Series
Dynamical Systems Working Seminar
Time
Friday, April 4, 2014 - 1:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Mikel J. de Viana – Georgia Tech
Organizer
Mikel Viana
We begin the proof of Oseledets 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.