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Syllabus TOPOLOGICAL DYNAMICS - 80625
עברית
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Last update 22-08-2023
HU Credits: 2

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Michael Hochman

Coordinator Email: michael.hochman@mail.huji.ac.il

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

Enveloping semigroup and distal systems

Topological entropy

Further topics

Required Reading:
There is no required reading.

Additional Reading Material:
Course notes will be published on the website.

Grading Scheme :
Essay / Project / Final Assignment / Home Exam / Referat 100 %

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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