printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

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math 288 - probability & statistics

guillaume dubach

ist austria

overlaps between eigenvectors of non-hermitian random matrices

abstract:

right and left eigenvectors of non-hermitian matrices form a bi-orthogonal system to which one can associate homogeneous quantities known as overlaps. the matrix of overlaps quantifies the stability of the spectrum and characterizes the joint eigenvalues increments under dyson-type dynamics. overlaps first appeared in the physics literature: chalker and mehlig calculated their conditional expectation for complex ginibre matrices (1998). for the same model, we extend their results by deriving the distribution of the overlaps and their correlations (joint work with p. bourgade). similar results have been obtained in other integrable settings, namely quaternionic gaussian matrices, as well as matrices from the spherical and truncated unitary ensembles.

host: benson au

october 29, 2020

10:00 am

for zoom id and password email: bau@ucsd.edu

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