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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
English and Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof Benjamin Weiss
Coordinator Office Hours:
by appointment
Teaching Staff:
Prof Michael Hochman
Course/Module description:
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.
Course/Module aims:
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
topological dynamics.
Attendance requirements(%):
60
Teaching arrangement and method of instruction:
lectures
Course/Module Content:
Basic definitions and theorems.
Recurrence and its applications: can der Waerden's theorem
Discrete spectrum and classification of isometries
Further topics
Rotation numbers and Poincare's theorem
Furstenberg's theorem on 2- and 3-invariant sets
Expansion in non-integer bases and beta shifts
Required Reading:
There is no required reading.
Additional Reading Material:
Course/Module evaluation:
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 %
Additional information:
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