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...
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Autor*in:	Fyodorov, Yan. V. [verfasserIn] Khoruzhenko, Boris. A.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2007

Schlagwörter:	Random Matrice Random Matrix Characteristic Polynomial Random Matrix Theory Eigenvalue Distribution

Anmerkung:	© Springer-Verlag 2007

Übergeordnetes Werk:	Enthalten in: Communications in mathematical physics - Berlin : Springer, 1965, 273(2007), 3 vom: 31. Mai, Seite 561-599
Übergeordnetes Werk:	volume:273 ; year:2007 ; number:3 ; day:31 ; month:05 ; pages:561-599

Links:	Volltext

DOI / URN:	10.1007/s00220-007-0270-y

Katalog-ID:	SPR002339838

Internformat


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245	1	0	\|a On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices
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520			\|a 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.
650		4	\|a Random Matrice \|7 (dpeaa)DE-He213
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650		4	\|a Characteristic Polynomial \|7 (dpeaa)DE-He213
650		4	\|a Random Matrix Theory \|7 (dpeaa)DE-He213
650		4	\|a Eigenvalue Distribution \|7 (dpeaa)DE-He213
700	1		\|a Khoruzhenko, Boris. A. \|4 aut
773	0	8	\|i Enthalten in \|t Communications in mathematical physics \|d Berlin : Springer, 1965 \|g 273(2007), 3 vom: 31. Mai, Seite 561-599 \|w (DE-627)253721628 \|w (DE-600)1458931-X \|x 1432-0916 \|7 nnns
773	1	8	\|g volume:273 \|g year:2007 \|g number:3 \|g day:31 \|g month:05 \|g pages:561-599
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912			\|a GBV_ILN_95
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912			\|a GBV_ILN_101
912			\|a GBV_ILN_105
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912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
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912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
912			\|a GBV_ILN_281
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912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
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912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
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912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
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912			\|a GBV_ILN_2548
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allfields	10.1007/s00220-007-0270-y doi (DE-627)SPR002339838 (SPR)s00220-007-0270-y-e DE-627 ger DE-627 rakwb eng Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr 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 (dpeaa)DE-He213 Random Matrix (dpeaa)DE-He213 Characteristic Polynomial (dpeaa)DE-He213 Random Matrix Theory (dpeaa)DE-He213 Eigenvalue Distribution (dpeaa)DE-He213 Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://dx.doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 273 2007 3 31 05 561-599
spelling	10.1007/s00220-007-0270-y doi (DE-627)SPR002339838 (SPR)s00220-007-0270-y-e DE-627 ger DE-627 rakwb eng Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr 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 (dpeaa)DE-He213 Random Matrix (dpeaa)DE-He213 Characteristic Polynomial (dpeaa)DE-He213 Random Matrix Theory (dpeaa)DE-He213 Eigenvalue Distribution (dpeaa)DE-He213 Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://dx.doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 273 2007 3 31 05 561-599
allfields_unstemmed	10.1007/s00220-007-0270-y doi (DE-627)SPR002339838 (SPR)s00220-007-0270-y-e DE-627 ger DE-627 rakwb eng Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr 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 (dpeaa)DE-He213 Random Matrix (dpeaa)DE-He213 Characteristic Polynomial (dpeaa)DE-He213 Random Matrix Theory (dpeaa)DE-He213 Eigenvalue Distribution (dpeaa)DE-He213 Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://dx.doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 273 2007 3 31 05 561-599
allfieldsGer	10.1007/s00220-007-0270-y doi (DE-627)SPR002339838 (SPR)s00220-007-0270-y-e DE-627 ger DE-627 rakwb eng Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr 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 (dpeaa)DE-He213 Random Matrix (dpeaa)DE-He213 Characteristic Polynomial (dpeaa)DE-He213 Random Matrix Theory (dpeaa)DE-He213 Eigenvalue Distribution (dpeaa)DE-He213 Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://dx.doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 273 2007 3 31 05 561-599
allfieldsSound	10.1007/s00220-007-0270-y doi (DE-627)SPR002339838 (SPR)s00220-007-0270-y-e DE-627 ger DE-627 rakwb eng Fyodorov, Yan. V. verfasserin aut On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr 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 (dpeaa)DE-He213 Random Matrix (dpeaa)DE-He213 Characteristic Polynomial (dpeaa)DE-He213 Random Matrix Theory (dpeaa)DE-He213 Eigenvalue Distribution (dpeaa)DE-He213 Khoruzhenko, Boris. A. aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 273(2007), 3 vom: 31. Mai, Seite 561-599 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:273 year:2007 number:3 day:31 month:05 pages:561-599 https://dx.doi.org/10.1007/s00220-007-0270-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 273 2007 3 31 05 561-599
language	English
source	Enthalten in Communications in mathematical physics 273(2007), 3 vom: 31. Mai, Seite 561-599 volume:273 year:2007 number:3 day:31 month:05 pages:561-599
sourceStr	Enthalten in Communications in mathematical physics 273(2007), 3 vom: 31. Mai, Seite 561-599 volume:273 year:2007 number:3 day:31 month:05 pages:561-599
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Random Matrice Random Matrix Characteristic Polynomial Random Matrix Theory Eigenvalue Distribution
isfreeaccess_bool	false
container_title	Communications in mathematical physics
authorswithroles_txt_mv	Fyodorov, Yan. V. @@aut@@ Khoruzhenko, Boris. A. @@aut@@
publishDateDaySort_date	2007-05-31T00:00:00Z
hierarchy_top_id	253721628
id	SPR002339838
language_de	englisch
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author	Fyodorov, Yan. V.
spellingShingle	Fyodorov, Yan. V. misc Random Matrice misc Random Matrix misc Characteristic Polynomial misc Random Matrix Theory misc Eigenvalue Distribution On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices
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topic_title	On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices Random Matrice (dpeaa)DE-He213 Random Matrix (dpeaa)DE-He213 Characteristic Polynomial (dpeaa)DE-He213 Random Matrix Theory (dpeaa)DE-He213 Eigenvalue Distribution (dpeaa)DE-He213
topic	misc Random Matrice misc Random Matrix misc Characteristic Polynomial misc Random Matrix Theory misc Eigenvalue Distribution
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title	On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices
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title_full	On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices
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author_browse	Fyodorov, Yan. V. Khoruzhenko, Boris. A.
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doi_str_mv	10.1007/s00220-007-0270-y
title_sort	on absolute moments of characteristic polynomials of a certain class of complex random matrices
title_auth	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
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title_short	On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices
url	https://dx.doi.org/10.1007/s00220-007-0270-y
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author2	Khoruzhenko, Boris. A.
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up_date	2024-07-04T02:40:17.531Z
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On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices

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