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Inter-relationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles by Forrester, P. J.; Rains, E. M. is a scholarly article available to read on EtoBox.

What is Inter-relationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles about?

We consider the following problem: When do alternate eigenvalues taken from a matrix ensemble themselves form a matrix ensemble? More precisely, we classify all weight functions for which alternate eigenvalues from the corresponding orthogonal ensemble form a symplectic ensemble, and similarly classify those weights for which alternate eigenvalues from a union of two orthogonal ensembles forms a unitary ensemble. Also considered are the $k$-point distributions for the decimated orthogonal ensembles.

Author

Forrester, P. J.; Rains, E. M.

Published

1999

Language

EN