Dynamics on Lie Groups (offered through TCC Oxford)
Dynamical systems on Lie groups are intimately connected to both number theory and physics. In this course, we will introduce some key ideas from this world. This course is aimed at postgraduate students from a broad mathematical background, requiring few prerequisites beyond measure theory, group theory, and smooth manifold theory.
Lecture Notes
- Lecture 1: Recurrence and Ergodicity
- Lecture 2: Ergodicity, Weak-mixing, Mixing
- Lecture 3: Hopf argument, Group actions
- Compiled Lecture Notes (tex'ed)
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