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Syllabus TOPOLOGICAL DYNAMICS - 80625
עברית
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Last update 14-04-2020
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 Email: weiss@math.huji.ac.il

Coordinator Office Hours: by appointment

Teaching Staff:
Prof Benjamin Weiss

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.

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

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:
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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