Symbolic Dynamics syllabus

 

• 10:15-12:00 Wednesdays in room M1 (Quantum, 2nd floor)
• 10:15-12:00 Thursdays in room M2 (Quantum 2nd floor)
• 10:15-12:00 Fridays in room M1 (Quantum, 2nd floor)

Homework sessions (6 times 2 hours):

• 10:15-12:00 Mondays in room M1 (Quantum, 2nd floor)

Exceptions: No classes on 17.1.-24.1. and not on Thursdays 20.2. and 27.2. Friday 28.2. will be homework instead of a lecture.

Course Web Page: http://users.utu.fi/jkari/sd2025

Instructor:  Jarkko Kari <jkari@utu.fi>; office: Quantum 365, 3rd floor

Textbook:

• No textbook. Lecture notes are posted on the course web page.

About homework:

• 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 problems.

Final exam:

• Date TBA
• Anyone with democlass at least C has qualified to take the exam.
• Homework activity (demo class A, B or C) and the score of the final exam determine the final grade.

Brief course outline

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