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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 2, Pages 232–241
DOI: https://doi.org/10.18500/1816-9791-2016-16-2-232-241 (Mi isu641) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Computer Sciences

The geometric form of automaton mappings, recurrent and $Z$-recurrent definition of sequences

V. A. Tverdokhlebovab

a Institute of Precision Mechanics and Control, Russian Academy of Sciences, 24, Rabochaya st., 410028, Saratov, Russia
b Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia
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DOI: https://doi.org/10.18500/1816-9791-2016-16-2-232-241
Abstract: For automaton mappings we present a method to construct geometric images, a method for complexity estimate by geometric forms, a method of $Z$-recurrent definition of sequences. A method for complexity estimate for finite sequences by recurrent and $Z$-recurrent numerical indicators is proposed. Numerical indicators of recurrent and $Z$-recurrent definitions of sequences are systematized into the spectrum of recurrent definitions with 5 levels of numerical indicators. The spectrum includes the order of a recurrent form, the numerical characteristics of various types of recurrent sequences, etc.
Key words: automaton mappings, geometric images, recurrent sequence, $Z$-recurrent sequences, sequences, complexity estimate of a sequence.
Bibliographic databases:
Document Type: Article
UDC: 519.713.1; 519.713.4
Language: Russian
Citation: V. A. Tverdokhlebov, “The geometric form of automaton mappings, recurrent and $Z$-recurrent definition of sequences”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016), 232–241
Citation in format AMSBIB
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\by V.~A.~Tverdokhlebov
\paper The geometric form of automaton mappings, recurrent and $Z$-recurrent definition of sequences
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 2
\pages 232--241
\mathnet{http://mi.mathnet.ru/isu641}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-2-232-241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3522918}
\elib{https://elibrary.ru/item.asp?id=26254387}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
     
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