Spectral properties of band random matrices over C and H division rings

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Spectral properties of band random matrices over C and H division rings
Original language description
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 parameterhas 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. Inaddition, the formula for the spectral rigidity, presented in [5], has been veried for CBRME and QBRME.
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
SPMS 2011 Stochastic and Physical Monitoring Systems - Proceedings
ISBN
978-80-01-04916-7
ISSN
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e-ISSN
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Number of pages
11
Pages from-to
14-24
Publisher name
ČVUT, Fakulta jaderná a fyzikálně inženýrská
Place of publication
Praha
Event location
Křižánky
Event date
Jun 27, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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