Johannes Alt
Graduate Seminar on Probability Theory:
Log gases and random matrices
Summer Term 2026
Lecturer: Prof. Dr. Johannes Alt
This graduate seminar deals with beta ensembles. These consist of N real random variables with a specific type of joint density, which generalise the joint density of eigenvalues of N x N Hermitian random matrices with Gaussian distributed entries. We will study the behaviour of beta ensembles when N tends to infinity. More details can be found in the file Contents.
News
- The distribution of topics is completed. Please see the file list of talks.
- The file about organisation has been updated (March 2).
- The file about contents has been updated (January 28).
- If you are interested but missed the preliminary meeting then read the files linked below and write to Johannes Alt for questions or registration.
The preliminary meeting took place on Tuesday, 27 January 2026 at 5:00 pm.
Files
Prerequisites
Measure theory and measure-theoretic probability theory. A small number of talks (see file) might require some basic knowledge in stochastic analysis or complex analysis.
Time and Place
Thursdays, 2 pm (ct.) to 4 pm