Wednesday, January 17, 2024 - 09:00 in ZOOM - Video Conference
Character expansion in non-Hermitian ensembles
A talk in the Seminar Zufallsmatrizen series by
Nick Simm from University of Sussex
| Abstract: |
The archetypal model of a non-Hermitian random matrix is the Ginibre
ensemble, consisting of i.i.d. standard Gaussian entries with no symmetry
constraints. Another interesting non-Hermitian ensemble is obtained by
truncating a Haar distributed unitary matrix, which can be shown to recover
the Ginibre ensemble in a suitable limit. I will discuss recent work which
develops a character expansion approach for evaluating correlations of
characteristic polynomials in such models. The approach leads to a number of
dualities interchanging the size of the matrices with the number of factors in
the correlator. At the same time, it gives an alternative route to finding closed
form determinantal or Pfaffian expressions. This is joint work with A.
Serebryakov (Sussex).
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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