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Product Matrix Processes with Symplectic and Orthogonal Invariance via Symmetric Functions

By Andrew Ahn and Eugene Strahov
We apply symmetric function theory to study random processes formed by singular values of products of truncations of Haar distributed symplectic and orthogonal matrices. These product matrix processes are degenerations of Macdonald processes introduced by Borodin and Corwin. Through this connection, we obtain explicit formulae for the distribution of singular... Show more
September 23, 2020
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Product Matrix Processes with Symplectic and Orthogonal Invariance via Symmetric Functions
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