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  • The real band random matrices was investigated in detail last time. Spectra of these matrices are described by the spectral repulsion parameter 2 h0; 1i. The formula for evalution of mentioned property is published in [5]. The complex band random matrices are introduced in [4], however the formula for enumeration the parameter is not presented there. In this report, the complex and the quaternion band random matices, abbreviated as CBRME and QBRME respectively, are introduced. The formula for parameter has been derived by the Monte Carlo method and the non-linear regression method. We have shown that the lies in h0; 2i and h0; 4i in case of CBRME and QBRME respectively. The Wigner's semicircle law has been generalized for these new matrix ensembles. In addition, the formula for the spectral rigidity, presented in [5], has been veried for CBRME and QBRME.
  • The real band random matrices was investigated in detail last time. Spectra of these matrices are described by the spectral repulsion parameter 2 h0; 1i. The formula for evalution of mentioned property is published in [5]. The complex band random matrices are introduced in [4], however the formula for enumeration the parameter is not presented there. In this report, the complex and the quaternion band random matices, abbreviated as CBRME and QBRME respectively, are introduced. The formula for parameter has been derived by the Monte Carlo method and the non-linear regression method. We have shown that the lies in h0; 2i and h0; 4i in case of CBRME and QBRME respectively. The Wigner's semicircle law has been generalized for these new matrix ensembles. In addition, the formula for the spectral rigidity, presented in [5], has been veried for CBRME and QBRME. (en)
Title
  • Spectral properties of band random matrices over C and H division rings
  • Spectral properties of band random matrices over C and H division rings (en)
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  • Spectral properties of band random matrices over C and H division rings
  • Spectral properties of band random matrices over C and H division rings (en)
skos:notation
  • RIV/68407700:21340/11:00187705!RIV12-MSM-21340___
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  • RIV/68407700:21340/11:00187705
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  • random matrix theory (en)
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  • Veselý, Martin
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  • České vysoké učení technické v Praze. Fakulta jaderná a fyzikálně inženýrská
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