Beschreibung:
This is an advanced course designed to introduce graduate students and motivated undergraduates to a diverse array of cutting-edge themes in contemporary probability theory. Over the term, we will explore seven foundational areas: random graphs, random trees, random walks, percolation, interacting particle systems, random fractals, and random matrices. We devote two lectures to each topic. In every pair, the first session builds intuition and presents classical models and landmark theorems. The second session delves into current research directions, open problems, and applications.
This course is ideal for students with a solid grounding in measure-theoretic probability and an appetite for exploring the frontiers of the field.
Module:
M.Sc. Modul 1 aus dem Gebiet Analysis
M.Sc. Modul 2 aus dem Gebiet Analysis
M.Sc. Modul 3 aus dem Gebiet Analysis
M.Sc. Modul 5: Spezialvorlesung
- Kursleiter/in: Tanja Schiffmann
- Kursleiter/in: Christoph Thäle