Random Matrix Revolutions (Counting Process The- ory Approach)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00223100" target="_blank" >RIV/68407700:21340/14:00223100 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Random Matrix Revolutions (Counting Process The- ory Approach)
Original language description
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
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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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Number of pages
12
Pages from-to
65-76
Publisher name
ČVUT v Praze
Place of publication
Praha
Event location
Malá Skála
Event date
Jun 23, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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