Syllabus
1. Endomorphisms and automorphisms of probability spaces.
2. The Poincaré recurrence theorem.
3. The Birkhoff ergodic theorem and its consequences.
4. Examples.
5. Entropy and isomorphism of dynamical systems.
Annotation
The lectures are devoted to basic properties of measureble dynamical systems, properties like recurrence, ergodicity and mixing being discussed in detail.