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Sbornik: Mathematics, 2006, Volume 197, Issue 10, Pages 1509–1528
DOI: https://doi.org/10.1070/SM2006v197n10ABEH003810 (Mi sm1113) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Periodic functions on a free semigroup

V. L. Kurakin
English version PDF (388 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2006v197n10ABEH003810
Abstract: Let $X^*$ be the set of words over a finite alphabet $X$. The concept of periodic function $u\colon X^*\to M$ is considered. Such functions arise as the state transition functions and the output functions of automata. A method for the evaluation of the period and other characteristics of a periodic function with the use of the vector-period group and the fundamental group of the graph of the function is put forward.
Bibliography: 5 titles.
Received: 19.07.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 10, Pages 109–128
DOI: https://doi.org/10.4213/sm1113
Bibliographic databases:
UDC: 512
MSC: Primary 94A55; Secondary 20M35
Language: English
Original paper language: Russian
Citation: V. L. Kurakin, “Periodic functions on a free semigroup”, Mat. Sb., 197:10 (2006), 109–128; Sb. Math., 197:10 (2006), 1509–1528
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v197/i10/p109
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Russian version PDF:217
    English version PDF:11
    References:50
    First page:2
     
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