Wednesday, March 6, 2024 - 09:00 in ZOOM - Video Conference
Spectral gaps in the random normal matrix model
A talk in the Seminar Zufallsmatrizen series by
Joakim Cronvall
| Abstract: |
We consider the random normal matrix model (the two-dimensional
Coulomb gas at inverse temperature $\beta=2$). If the droplet is
disconnected, there will be interactions between the different
components leading to some new behaviours of the system. I will
discuss some results in the case of a rotational-invariant potential
where the droplet consists of several concentric annuli. In particular
I will discuss how a disconnected droplet affects asymptotics of the
partition function and the correlation kernel near the boundary. The
talk is based on work with Yacin Ameur and Christophe Charlier.
Please contact Lucas Hackl
(Lucas.Hackl@unimelb.edu.au) for details regarding access
Within the CRC this talk is associated to the project(s): C6 |
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