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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 4, Pages 417–423 (Mi sjvm491)  

A stochastic model of a digit transfer by computing

L. Ya. Savelev, S. V. Balakin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
References:
Abstract: This paper describes a stochastic model of the digit transfer. The main characteristics of the transfer process are the number of transfers, a number of groups of consecutive transfers and a maximum number of consecutive transfers. Two binary numbers with a digit transfer form a triplet, and a sequence of these triplets generates a Markov chain. In our model the above-mentioned characteristics can be described by functionals on trajectories of this chain. They are: the number of events, the number of runs of these events and a maximum run length. These characteristics can be efficiently used for estimation of a computation speed.
Key words: summator, summation, digit, transfer, stochastic model, random sequence, Markov chain, run, functional, expectation, variance.
Received: 29.09.2011
Revised: 11.10.2011
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 1, Pages 71–76
DOI: https://doi.org/10.1134/S1995423913010096
Bibliographic databases:
Document Type: Article
UDC: 519.6+519.2
Language: Russian
Citation: L. Ya. Savelev, S. V. Balakin, “A stochastic model of a digit transfer by computing”, Sib. Zh. Vychisl. Mat., 15:4 (2012), 417–423; Num. Anal. Appl., 6:1 (2013), 71–76
Citation in format AMSBIB
\Bibitem{SavBal12}
\by L.~Ya.~Savelev, S.~V.~Balakin
\paper A stochastic model of a~digit transfer by computing
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 4
\pages 417--423
\mathnet{http://mi.mathnet.ru/sjvm491}
\elib{https://elibrary.ru/item.asp?id=20432538}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 1
\pages 71--76
\crossref{https://doi.org/10.1134/S1995423913010096}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874800775}
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