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Multiscale and Stochastic Dynamics
Research group of Prof. Dr. Christian Kühn
The research interests of Christian Kühn's research group lies at the interface of differential equations, dynamical systems and mathematical modelling. A key goal is to analyze multiscale problems and the effect of noise/uncertainty in various classes of ordinary, partial, and stochastic differential equations as well as in network dynamics. The phenomena of central interest are: patterns, bifurcations and scaling laws. On a technical level, Kühn's work aims to build bridges between different areas dynamical systems and to various applications.
Winter term 2024/25
Course no. | Title | Dates | Duration | Type | Lecturer (assistant) |
---|---|---|---|---|---|
0000004149 | Advanced Student Seminar: Dynamics of Machine Learning | 2 | HS | ||
0240314936 | Introduction to Nonlinear Dynamics (Exercise Session) [MA3080] | 1 | UE | ||
0240112778 | Introduction to Nonlinear Dynamics [MA3080] | 2 | VO | ||
0000004202 | Seminar Dynamics | 2 | SE | ||
0000004222 | Topcs in Dynamical Systems | 2 | VO | ||
0000004223 | Topics in Dynamical Systems (Exercise Session) [MA5300] | 1 | UE |
List with all former courses in TUMonline.
The research of the group "Multiscale and Stochastic Dynamics" lies at the interface between several fields. Therefore, a thesis topic can be selected from quite a wide range of topics you may be interested in. However, you should have a suitable amount of specialized coursework consisting of courses in at least one of the following areas:
- differential equations / dynamical systems (ODE, PDE, dynamics)
- probability / stochastic processes (stochastic analysis)
- scientific computing / numerical analysis / machine learning
- mathematical modelling (network science, biology, and/or physics)
- geometry (differential and/or algebraic)
Please contact ckuehn(at)ma.tum.de to make an appointment to plan a possible thesis.
Name | Research Activity | University | Term |
Prof. Dr. Martin Rasmussen | John von Neumann Professor | Imperial College London | WiSe 2023/ 2024 |
Prof. Dr. Grigiorios Pavliotis | John von Neumann Professor | Imperial College London | SoSe 2019 |