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Spectral Properties of Random and Deterministic CMV Matrices.

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Title: Spectral Properties of Random and Deterministic CMV Matrices.
Authors: Damanik, David, Ruzhansky, Michael, Vougalter, Vitali, Wong, M.W., Stoiciu, M.
Source: Mathematical Modelling of Natural Phenomena. Sep2014, Vol. 9 Issue 5, p270-00281. 12p.
Subjects: Common method variance, Schrödinger operator, Random matrices, Eigenvalues, Spectral theory, Mathematical models
Abstract: The CMV matrices are unitary analogues of the discrete one-dimensional Schrödinger operators. We review spectral properties of a few classes of CMV matrices and describe families of random and deterministic CMV matrices which exhibit a transition in the distribution of their eigenvalues. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 99118413
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  Data: Spectral Properties of Random and Deterministic CMV Matrices.
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  Data: <searchLink fieldCode="AR" term="%22Damanik%2C+David%22">Damanik, David</searchLink><br /><searchLink fieldCode="AR" term="%22Ruzhansky%2C+Michael%22">Ruzhansky, Michael</searchLink><br /><searchLink fieldCode="AR" term="%22Vougalter%2C+Vitali%22">Vougalter, Vitali</searchLink><br /><searchLink fieldCode="AR" term="%22Wong%2C+M%2EW%2E%22">Wong, M.W.</searchLink><br /><searchLink fieldCode="AR" term="%22Stoiciu%2C+M%2E%22">Stoiciu, M.</searchLink>
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+of+Natural+Phenomena%22">Mathematical Modelling of Natural Phenomena</searchLink>. Sep2014, Vol. 9 Issue 5, p270-00281. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Common+method+variance%22">Common method variance</searchLink><br /><searchLink fieldCode="DE" term="%22Schrödinger+operator%22">Schrödinger operator</searchLink><br /><searchLink fieldCode="DE" term="%22Random+matrices%22">Random matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+theory%22">Spectral theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink>
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  Label: Abstract
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  Data: The CMV matrices are unitary analogues of the discrete one-dimensional Schrödinger operators. We review spectral properties of a few classes of CMV matrices and describe families of random and deterministic CMV matrices which exhibit a transition in the distribution of their eigenvalues. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1051/mmnp/20149518
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      – Code: eng
        Text: English
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      – SubjectFull: Common method variance
        Type: general
      – SubjectFull: Schrödinger operator
        Type: general
      – SubjectFull: Random matrices
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      – SubjectFull: Eigenvalues
        Type: general
      – SubjectFull: Spectral theory
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      – SubjectFull: Mathematical models
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      – TitleFull: Spectral Properties of Random and Deterministic CMV Matrices.
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              Text: Sep2014
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              Y: 2014
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