dorsal/arxiv
View SchemaInter-relationships between orthogonal, unitary and symplectic matrix ensembles
| Authors | P. J. Forrester, E. M. Rains |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9907008 |
| URL | https://arxiv.org/abs/solv-int/9907008 |
Abstract
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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"abstract": "We consider the following problem: When do alternate eigenvalues taken from a\nmatrix ensemble themselves form a matrix ensemble? More precisely, we classify\nall weight functions for which alternate eigenvalues from the corresponding\northogonal ensemble form a symplectic ensemble, and similarly classify those\nweights for which alternate eigenvalues from a union of two orthogonal\nensembles forms a unitary ensemble. Also considered are the $k$-point\ndistributions for the decimated orthogonal ensembles.",
"arxiv_id": "solv-int/9907008",
"authors": [
"P. J. Forrester",
"E. M. Rains"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Inter-relationships between orthogonal, unitary and symplectic matrix ensembles",
"url": "https://arxiv.org/abs/solv-int/9907008"
},
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