Wednesday, December 14, 2022 - 09:00 in ZOOM - Video Conference
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
A talk in the Seminar Zufallsmatrizen series by
Ben McKenna from Harvard University
| Abstract: |
We consider quadratic forms evaluated at GOE/GUE eigenvectors,
like those studied in the context of quantum unique ergodicity.
Under a rank assumption, we show that, in order to compute their
extremal statistics, it suffices to replace the eigenvectors with
independent Gaussian vectors. By carrying out some representative
Gaussian computations, we thus find Gumbel and Weibull limiting
distributions for the original problem. Joint work with László Erdős.
Please contact Gernot Akemann (akemann@physik.uni-bielefeld.de) for details regarding access.
Within the CRC this talk is associated to the project(s): C6 |
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