MAGIC010 Ergodic Theory

These are the notes for the 10-credit MAGIC course on Ergodic Theory. There are ten lectures, each consisting of (i) the slides presented in lectures, (ii) more detailed notes with full proofs for those who want to read the technical details.

• Lecture 1: Examples of dynamical systems slides, notes
• Lecture 2: Uniform distribution mod 1 slides, notes
• Lecture 3: Invariant measures slides, notes
• Lecture 4: Ergodicity and mixing slides, notes
• Lecture 5: Recurrence and ergodicity slides, notes
• Lecture 6: Continuous transformations of compact metric spaces slides, notes
• Lecture 7: Entropy slides, notes
• Lecture 8: Topological entropy slides, notes
• Lecture 9: Thermodynamic formalism slides, notes
• Lecture 10: The ergodic theory of hyperbolic dynamical systems slides, notes