Dynamics of a rank-one multiplicative perturbation of a unitary matrix
Dubach G, Reker J. 2024. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications.
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Abstract
We provide a dynamical study of a model of multiplicative perturbation of a unitary matrix introduced by Fyodorov. In particular, we identify a flow of deterministic domains that bound the spectrum with high probability, separating the outlier from the typical eigenvalues at all sub-critical timescales. These results are obtained under generic assumptions on U that hold for a variety of unitary random matrix models.
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2024-05-21
Journal Title
Random Matrices: Theory and Applications
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World Scientific Publishing
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Dubach G, Reker J. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications. 2024. doi:10.1142/s2010326324500072
Dubach, G., & Reker, J. (2024). Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications. World Scientific Publishing. https://doi.org/10.1142/s2010326324500072
Dubach, Guillaume, and Jana Reker. “Dynamics of a Rank-One Multiplicative Perturbation of a Unitary Matrix.” Random Matrices: Theory and Applications. World Scientific Publishing, 2024. https://doi.org/10.1142/s2010326324500072.
G. Dubach and J. Reker, “Dynamics of a rank-one multiplicative perturbation of a unitary matrix,” Random Matrices: Theory and Applications. World Scientific Publishing, 2024.
Dubach G, Reker J. 2024. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications.
Dubach, Guillaume, and Jana Reker. “Dynamics of a Rank-One Multiplicative Perturbation of a Unitary Matrix.” Random Matrices: Theory and Applications, World Scientific Publishing, 2024, doi:10.1142/s2010326324500072.
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