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

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

11

Strana od-do

14-24

Název nakladatele

ČVUT, Fakulta jaderná a fyzikálně inženýrská

Místo vydání

Praha

Místo konání akce

Křižánky

Datum konání akce

27. 6. 2011

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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