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Factor frequencies in generalized Thue-Morse words

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00184958" target="_blank" >RIV/68407700:21340/12:00184958 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Factor frequencies in generalized Thue-Morse words

  • Original language description

    We describe factor frequencies of the generalized Thue-Morse word t_{b,m} defined for b >= 2, m >= 1, b, m element N, as the fixed point starting in 0 of the morphism ?_{b,m} : k -> k(k + 1) . . . (k + b - 1), where k element {0, 1, . . . , m - 1} and where the letters are expressed modulo m. We use the result of Frid for fixed points of uniform morphisms and the study of generalized Thue-Morse words by Starosta.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F09%2F0584" target="_blank" >GA201/09/0584: Algebraic and combinatorial aspects of aperiodic structures</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Kybernetika

  • ISSN

    0023-5954

  • e-ISSN

  • Volume of the periodical

    3

  • Issue of the periodical within the volume

    48

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    15

  • Pages from-to

    371-385

  • UT code for WoS article

    000307856900003

  • EID of the result in the Scopus database