Course description: Riemann-Hilbert problems and orthogonal polynomials form a strong tool for asymptotic analysis in Random Matrix Theory and other fields. The course starts with some basic probabilistic definitions concerning determinantal point processes and correlations kernels, but quickly switches focus to the explicit analyses of Riemann-Hilbert problems, which live in the realm of complex analysis.
Keywords: random matrix theory, asymptotic analysis, point processes, special functions
Complex analysis
Frequency | Weekday | Time | Format / Place | Period |
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Module | Course | Requirements | |
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28-M-SMTP Spezialisierung Mathematische und Theoretische Physik | Spezialisierungskurs MP-M - Variante 2 Teil 2 | Student information | |
Spezialisierungskurs MP-M - Variante 4 Teil 1 | Student information | ||
- | Graded examination | Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
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Bielefeld Graduate School in Theoretical Sciences / Promotion | |||||||
Mathematik / Promotion | Subject-specific qualification | 2 | aktive Teilnahme oder unbenotete Einzelleistung |