Wednesday, February 8, 2023 - 09:00 in ZOOM - Video Conference
Dynamics of a multiplicative rank one perturbation of a unitary matrix
A talk in the Seminar Zufallsmatrizen series by
Jana Reker from IST Austria
| Abstract: |
We consider a multiplicative perturbation of the form $UA(t)$ where
$U$ is a unitary random matrix and $A = diag (t,1,...,1)$. This so-called
"$UA$ model" was first introduced by Fyodorov in 2001 for its
applications in scattering theory. In this talk, I will give a general
description of the eigenvalue trajectories obtained by varying the
parameter $t$ and discuss a flow of deterministic domains that allows
separating the outlier resulting from the rank-one perturbation from
the typical eigenvalues for all sub-critical timescales. The results are
obtained under generic assumptions on $U$ that hold for a variety of
unitary random matrix models.
Based on joint work with Guillaume Dubach (ENS Paris).
Please contact Leslie Molag (lmolag@math.uni-bielefeld.de) for details regarding access
Within the CRC this talk is associated to the project(s): C6 |
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