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- FIELD
- Mathematics
- DATE
-
Jun 13 (Tue), 2023
- TIME
- 17:00 ~ 18:00
- PLACE
- ONLINE
- SPEAKER
- Courteaut, Klara
- HOST
- Lee, Jaehun
- INSTITUTE
- KTH
- TITLE
- [GS_M_APP] The planar Coulomb gas on a Jordan curve
- ABSTRACT
- The eigenvalues of a Haar distributed unitary matrix (CUE) have the physical interpretation of a system of particles subject to a logarithmic pair interaction, restricted to lie on the unit circle, and at inverse temperature 2. In his thesis, Kurt Johansson generalized this model by replacing the unit circle with a sufficiently regular Jordan curve. He obtained the asymptotics of the Laplace transform of linear statistics. In this talk I will present a recent paper with Johansson, in which we adapt the proof to any positive temperature and obtain the asymptotic partition function.
- FILE
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