## Ergodic Theory (MAGIC010) |

## General## SemesterAutumn 2011 (Monday, October 10 to Friday, December 16) ## Timetable- Tue 09:05 - 09:55
## PrerequisitesNo prerequisites information is available yet.
## Syllabus-
**Lecture 1:**Examples of dynamical systems -
**Lecture 2:**Uniform distribution mod 1 -
**Lecture 3:**Invariant measures and measure-preserving transformations -
**Lecture 4:**Ergodicity and mixing -
**Lecture 5:**Recurrence. Birkhoff's Ergodic Theorem -
**Lecture 6:**Topological dynamics -
**Lecture 7:**Entropy, information, and the isomorphism problem -
**Lecture 8:**Thermodynamic formalism -
**Lecture 9:**Applications of thermodynamic formalism: (i) Bowen's formula for Hausdorff dimension, (ii) central limit theorems. -
**Lecture 10:**The geodesic flow on compact surfaces of constant negative curvature
## Students
## BibliographyNo bibliography has been specified for this course. ## AssessmentNo assessment information is available yet.
Take-home test for MAGIC010
## FilesFiles marked |