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Problemy Peredachi Informatsii, 2019, Volume 55, Issue 1, Pages 59–73
DOI: https://doi.org/10.1134/S0134347519010030
(Mi ppi2285)
 

Large Systems

Probability of inversion of a large spin in the form of an asymptotic expansion in a series of Bessel functions

E. A. Karatsubaa, P. Morettib

a Dorodnitsyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia
b Institute for Complex Systems, Italian National Research Council, Florence, Italy
References:
Abstract: An exact expression for the probability of inversion of a large spin is established in the form of an asymptotic expansion in the series of Bessel functions with orders belonging to an arithmetic progression. Based on the new asymptotic expansion, a formula for the inversion time of the spin is derived.
Funding agency Grant number
Russian Foundation for Basic Research 17-20-02222
19-07-00750
Received: 26.10.2018
Revised: 04.01.2019
Accepted: 09.01.2019
English version:
Problems of Information Transmission, 2019, Volume 55, Issue 1, Pages 53–66
DOI: https://doi.org/10.1134/S0032946019010034
Bibliographic databases:
Document Type: Article
UDC: 621.391.1 : 519.651 : 519.688
Language: Russian
Citation: E. A. Karatsuba, P. Moretti, “Probability of inversion of a large spin in the form of an asymptotic expansion in a series of Bessel functions”, Probl. Peredachi Inf., 55:1 (2019), 59–73; Problems Inform. Transmission, 55:1 (2019), 53–66
Citation in format AMSBIB
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\paper Probability of inversion of a large spin in the form of an asymptotic expansion in a series of Bessel functions
\jour Probl. Peredachi Inf.
\yr 2019
\vol 55
\issue 1
\pages 59--73
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\crossref{https://doi.org/10.1134/S0134347519010030}
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\jour Problems Inform. Transmission
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\pages 53--66
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    Проблемы передачи информации Problems of Information Transmission
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    References:33
    First page:10
     
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