BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Beta Jacobi Ensembles and the GSVD Edelman, Alan

Description

The traditional derivations of the joint eigenvalue densities focus on the symmetric eigenvalue factorization, but it has been long been clear that Laguerre deserves an SVD derivation, and Jacobi deserves a Generalized Singular Value or GSVD derivation. In the old days, the SVD was unfamiliar so it took longer to explain. Today the GSVD is less familiar, so it takes longer to explain. We carry out this derivation, and then turn to a "kind of" explanation (some would call it fictional, or "ghost" explanation) of what is happening for general beta ensembles. Joint work with Bernie Wang.

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Attribution-NonCommercial-NoDerivatives 4.0 International