## Spring 2019

**
Symbolic dynamics
**

**Lectures** (14 times, 9.1.-20.2.2019)

- 10:15-12:00 Monday (Room M1, Quantum)

- 10:15-12:00 Wednesday (Room M1, Quantum)

**Homework sessions** (6 times, 14.1.-22.2.2019)
- 10:15-12:00 Friday (Room M1, Quantum)

**Course Web Page:**

**Instructor:**

**Textbook:**
- No textbook. Lecture notes provided by the instructor.

**About homework:**
- Presence is mandatory. Absence is permitted only if agreed with the lecturer (ask beforehand if possible).
- To pass the course, at least 25% of the homework problems must be completed. The more problems you solve, the more credit towards the final grade you get: You get demo class
- A, if you complete 70%-100%,
- B, if you complete 45%-70%,
- C, if you complete 25%-45%

of the given homeworks.

**Final exam:**
- Three hours, four problems.
- Anyone with democlass at least C has qualified to take the exam within one year.
- Registration though internet (NettiOpsu) is required at least one week before the exam.
- Homework activity (demo class A, B or C) and the score of the final exam determine the final grade.

**Tentative course outline**

- Review of topology (compact metric spaces, Cantor space)
- Topological dynamics (mixing properties, recurrence, sensitivity)
- Intoduction to shift spaces and types of subshifts
- Subshifts of finite type, sofic shifts, effective subshifts
- Symbolic representations