Random Matrix Revolutions (Counting Process The- ory Approach)

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

Random Matrix Revolutions (Counting Process The- ory Approach)

Popis výsledku v původním jazyce

Random matrix theory is quite new on the field of mathematics. The greater its importance seems to be especially in the modeling of various natural and social phenomena. Such phenomena are related to the random matrices through coresponding eigenvalues.For the describtion of the set of eigenvalues from the interaction dependance point of view characteristics like spacings between two eigenvalues or number of eigenvalues on a particular interval are used. For this purpose the theory of random processesis applied, particularly results from the counting processes. At the beginning of the presentation the term counting process is therefore introduced as well as some important facts about it are mentioned. Consequently fully new results are presented including for example special represetnation of variance and covariance of the process. However, the way of interaction between eigenvalues of random matrices is very complicated. Thus at the end of the presentation the difference between the

Název v anglickém jazyce

Random Matrix Revolutions (Counting Process The- ory Approach)

Popis výsledku anglicky

Random matrix theory is quite new on the field of mathematics. The greater its importance seems to be especially in the modeling of various natural and social phenomena. Such phenomena are related to the random matrices through coresponding eigenvalues.For the describtion of the set of eigenvalues from the interaction dependance point of view characteristics like spacings between two eigenvalues or number of eigenvalues on a particular interval are used. For this purpose the theory of random processesis applied, particularly results from the counting processes. At the beginning of the presentation the term counting process is therefore introduced as well as some important facts about it are mentioned. Consequently fully new results are presented including for example special represetnation of variance and covariance of the process. However, the way of interaction between eigenvalues of random matrices is very complicated. Thus at the end of the presentation the difference between the

Druh

D - Stať ve sborníku

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of Stochastic and Physical Monitoring Systems 2014

ISBN

978-80-01-05616-5

ISSN

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e-ISSN

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Počet stran výsledku

12

Strana od-do

65-76

Název nakladatele

ČVUT v Praze

Místo vydání

Praha

Místo konání akce

Malá Skála

Datum konání akce

23. 6. 2014

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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