2nd degree (Master)
English and Hebrew
Prof Benjamin Weiss
Coordinator Office Hours:
Prof Michael Hochman
The course covers basic definitions and theorems in topological dynamics.
Among the topics will be:
1.Special classes like -
Kronecker systems, distal flows and symbolic shifts.
2. topological entropy.
3. some applications to number theory and combinatorics.
To encounter basic definitions and examples from topological dynamics, special classes of dynamical systems שמג and the relations between them, and applications outside of dynamics.
Learning outcomes - On successful completion of this module, students should be able to:
The ability to understand more advanced material in
Teaching arrangement and method of instruction:
Basic definitions and theorems.
Recurrence and its applications: can der Waerden's theorem
Discrete spectrum and classification of isometries
Rotation numbers and Poincare's theorem
Furstenberg's theorem on 2- and 3-invariant sets
Expansion in non-integer bases and beta shifts
There is no required reading.
Additional Reading Material:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 100 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %