On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices
Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is mot...
Ausführliche Beschreibung
Autor*in: |
Fyodorov, Yan. V. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2007 |
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Schlagwörter: |
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Anmerkung: |
© Springer-Verlag 2007 |
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Übergeordnetes Werk: |
Enthalten in: Communications in mathematical physics - Springer-Verlag, 1965, 273(2007), 3 vom: 31. Mai, Seite 561-599 |
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Übergeordnetes Werk: |
volume:273 ; year:2007 ; number:3 ; day:31 ; month:05 ; pages:561-599 |
Links: |
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DOI / URN: |
10.1007/s00220-007-0270-y |
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OLC203889180X |
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10.1007/s00220-007-0270-y doi (DE-627)OLC203889180X (DE-He213)s00220-007-0270-y-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. Random Matrice Random Matrix Characteristic Polynomial Random Matrix Theory Eigenvalue Distribution Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 273 2007 3 31 05 561-599 |
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10.1007/s00220-007-0270-y doi (DE-627)OLC203889180X (DE-He213)s00220-007-0270-y-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. Random Matrice Random Matrix Characteristic Polynomial Random Matrix Theory Eigenvalue Distribution Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 273 2007 3 31 05 561-599 |
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10.1007/s00220-007-0270-y doi (DE-627)OLC203889180X (DE-He213)s00220-007-0270-y-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. Random Matrice Random Matrix Characteristic Polynomial Random Matrix Theory Eigenvalue Distribution Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 273 2007 3 31 05 561-599 |
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10.1007/s00220-007-0270-y doi (DE-627)OLC203889180X (DE-He213)s00220-007-0270-y-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. Random Matrice Random Matrix Characteristic Polynomial Random Matrix Theory Eigenvalue Distribution Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 273 2007 3 31 05 561-599 |
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10.1007/s00220-007-0270-y doi (DE-627)OLC203889180X (DE-He213)s00220-007-0270-y-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. Random Matrice Random Matrix Characteristic Polynomial Random Matrix Theory Eigenvalue Distribution Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 273 2007 3 31 05 561-599 |
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on absolute moments of characteristic polynomials of a certain class of complex random matrices |
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On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices |
abstract |
Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. © Springer-Verlag 2007 |
abstractGer |
Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. © Springer-Verlag 2007 |
abstract_unstemmed |
Abstract The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW† for the class of matrices W = AU, where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results are discussed in this context. © Springer-Verlag 2007 |
collection_details |
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container_issue |
3 |
title_short |
On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices |
url |
https://doi.org/10.1007/s00220-007-0270-y |
remote_bool |
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author2 |
Khoruzhenko, Boris. A. |
author2Str |
Khoruzhenko, Boris. A. |
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doi_str |
10.1007/s00220-007-0270-y |
up_date |
2024-07-03T20:45:01.421Z |
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