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Intermittency and random matrices

Part of: Macroscopic Randomness

Published online by Cambridge University Press:  29 April 2015

Dmitry Sokoloff  and
E. A. Illarionov
Dmitry Sokoloff*
Affiliation:
Department of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia
E. A. Illarionov
Affiliation:
Department of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia
*
†Email address for correspondence: [email protected]
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Abstract

A spectacular phenomenon of intermittency, i.e. a progressive growth of higher statistical moments of a physical field excited by an instability in a random medium, attracted the attention of Zeldovich in the last years of his life. At that time, the mathematical aspects underlying the physical description of this phenomenon were still under development and relations between various findings in the field remained obscure. Contemporary results from the theory of the product of independent random matrices (the Furstenberg theory) allowed the elaboration of the phenomenon of intermittency in a systematic way. We consider applications of the Furstenberg theory to some problems in cosmology and dynamo theory.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 4 , August 2015 , 395810402
Copyright
Copyright © Cambridge University Press 2015 

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