ar X iv : s ol v - in t / 9 90 70 08 v 2 2 9 Se p 19 99 Inter - relationships between orthogonal , unitary and symplectic matrix ensembles
نویسنده
چکیده
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.
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