Wednesday, November 20, 2024 - 09:00 in Zoom
Markov-Krein transform and the high temperature regime for classical beta ensembles
A talk in the Seminar Zufallsmatrizen series by
Khanh Duy Trinh from Waseda University, Japan
| Abstract: |
The ground state of a free Fermi gas is a classical example of determinantal processes whose correlation kernel is associated with a Schrödinger operator on $R^n$. This observation is due to Macchi (1975) and determinantal processes have been intensively studied since then. In this talk, I will explain recent results that we obtained with Alix Deleporte about the fluctuations of these determinantal point processes, this will include universality of local correlations and different central limit theorems. The proof are based on the semiclassical analysis of Schrödinger operator, and more generally pseudo-differential operators, on $R^n$.
Within the CRC this talk is associated to the project(s): C6 |
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