Smooth Ergodic Theory

I plan to basically follow the lecture notes by Lai-Sang Young from a summer school in Hilleröd, Denmark in 1993, available at her webpage .

However I plan to give more proof details and also some generalizations. Other references will also be given.

Topics include

• The ergodic theorem
• Kingman's subadditive ergodic theorem
• Osceledets Theorem
• Introduction to entropy
• Shannon-Breiman-McMillan Theorem
• Local theory of nonuninformly hyperbolic dynamical systems, stable and unstable manifolds (Pesin Theory)
• Connection between Lyapunov exponents entropy and dimensions

There are possible continuations. Jörg Schmeling, Lund, is willing to give some additional lectures and there are also other options.