Eigenvector Overlaps for non-Hermitian Random Matrices
Mathematical Physics Seminar
7th February 2025, 2:00 pm – 3:00 pm
Fry Building, G.07
We will discuss the distribution of diagonal eigenvector overlaps for large non-Hermitian random matrices, i.e. the product of the norms of the left and right eigenvectors associated to a given eigenvalue. For matrices with iid Gaussian entries, the joint distribution of the overlap and the corresponding eigenvalue is known due to Fyodorov (2018) and Bourgade--Dubach (2020). We will extend these results to a broad class of non-Hermitian random matrices with independent entries.
Organiser: Emma Bailey
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