Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 6, Pages 20–49 (Mi da628)  
This article is cited in 6 scientific papers (total in 6 papers)

Orbits of linear maps and regular languages properties

M. N. Vyalyi, S. P. Tarasov

Computational Center of RAS, Moscow, Russia
Full-text PDF (366 kB) Citations (6)
References:
PDF
HTML
Abstract: We establish equivalence of two recognition problems: hitting of a polyhedral set by an orbit of a linear map and nonemptiness of the intersection of a regular language and the language of binary words permutations (the permutation filter). Decidability is unknown for both problems. The hitting problem generalizes well-known Skolem and nonnegativity problems that are formulated in terms of linear recurrence sequences. Bibliogr. 14.
Keywords: linear recurrence sequence, linear map, orbit, regular language, algorithmic decidability.
Received: 11.05.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 448–465
DOI: https://doi.org/10.1134/S1990478911030173
Bibliographic databases:
Document Type: Article
UDC: 510.53
Language: Russian
Citation: M. N. Vyalyi, S. P. Tarasov, “Orbits of linear maps and regular languages properties”, Diskretn. Anal. Issled. Oper., 17:6 (2010), 20–49; J. Appl. Industr. Math., 5:3 (2011), 448–465
Citation in format AMSBIB
\Bibitem{VyaTar10}
\by M.~N.~Vyalyi, S.~P.~Tarasov
\paper Orbits of linear maps and regular languages properties
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 6
\pages 20--49
\mathnet{http://mi.mathnet.ru/da628}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2797614}
\zmath{https://zbmath.org/?q=an:1249.68109}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 448--465
\crossref{https://doi.org/10.1134/S1990478911030173}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051971647}
Linking options:
  • https://www.mathnet.ru/eng/da628
  • https://www.mathnet.ru/eng/da/v17/i6/p20
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
    Statistics & downloads:
    Abstract page:577
    Full-text PDF :508
    References:45
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024