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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • e-ISSN

  • 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