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 files about contents and organisation have 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.
- The topics will be distributed in the first half of February; see the file Organisation.
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