Statistical Rigidity in the Systems of Interacting Particles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00236288" target="_blank" >RIV/68407700:21340/15:00236288 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Statistical Rigidity in the Systems of Interacting Particles
Original language description
In the systems of random variables among which interactions occur, we cannot often rely on the assumption of independence that is necessary for major probability formulas. The expected value may be influenced by the interactions and, therefore, it mightdiffer from the mean (numerical average) value, leading to a distortion of the variance as well. This research paper elaborates on the theory of statistical rigidity which aims to compensate the variance in such situations. The typical systems having these characteristics are, for example, models of social systems or spectrums of random matrices. Using modern concepts such as unfolding or level spacing, general relations of statistical rigidity are derived in the paper. Furthermore, considering the system based on the model of Dyson?s gas, methods how to compute and approximate, if necessary, shown formulas are examined.
Czech name
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Czech description
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
SPMS 2015 - Stochastic and Physical Monitoring Systems - Proceedings
ISBN
978-80-01-05841-1
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
145-149
Publisher name
ČVUT
Place of publication
Praha
Event location
Drhleny
Event date
Jun 22, 2015
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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