Courses 2015:

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Ergodic Theory 

In the course we shall explain the basic notions and methods of the ergodic theory 
and find out how they can be used for some toy-model examples 
coming from the dynamical systems of different nature.

Basic models to be covered:
1. Symbolic dynamics
2. Number theory dynamical systems
3. Dynamical systems in probability theory 
4. One-dimensional dynamics.Circle diffeomorphisms 
5. Elements of two-dimensional dynamics. Aubry-Mather theory 
6. Hyperbolic systems 

Basic methods to be used:
1. Entropy theory
2. Spectral theory
3. Renorm-group method

Homework problems

• Week 3,   
• Week 4,   
• Week 5, 
• Week 6,   
• Week 7,   
• Week 8 
• Review Problems 

Lecture Notes

Office Hours:

Lecture 1     Lecture 2   
Lecture 3     Lecture 4     
Lecture 5     Lecture 6  
Lecture 7     Lecture 8     
Lecture 9     Lecture 10   
Lecture 11    Lecture 12  
Lecture 15    Lecture 16  
​Lecture 17

Monday: 12:00 - 2:00 
or by appointment