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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof. Jonathan Breuer
Coordinator Office Hours:
Wednesday, 12:00--13:00
Teaching Staff:
Prof Yoram Last
Course/Module description:
Szego's Theorems deal with the asymptotics of Toeplitz determinants and are of central importance in various areas of analysis. The course will survey several proofs of the two theorems and in particular various applications in random matrix theory, statistical mechanics, orthogonal polynomials and spectral theory.
Course/Module aims:
To study Szego's Theorems, their proofs and some of their applications.
Learning outcomes - On successful completion of this module, students should be able to:
to quote Szego's Theorems, to prove them and to describe applications.
Attendance requirements(%):
0
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
1) Szego's Theorems and orthogonal polynomials.
2) The Law of Large Numbers and Central Limit Theorem in Random Matrix Theory.
3) Szego's Theorem and spectral stability.
4) Szego's Theorem and the Ising model.
Required Reading:
None
Additional Reading Material:
None
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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