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On the number of factors in codings of three interval exchange

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00175395" target="_blank" >RIV/68407700:21340/11:00175395 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the number of factors in codings of three interval exchange

  • Original language description

    We consider exchange of three intervals with permutation (3, 2, 1). The aim of this paper is to count the cardinality of the set 3iet(N) of all words of length N which appear as factors in infinite words coding such transformations. We use the strong relation of 3iet words and words coding exchange of two intervals, i.e., Sturmian words. The known asymptotic formula for the number of Sturmian factors allows us to find upper and lower bound for #3iet(N).

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Discrete Mathematics and Theoretical Computer Science

  • ISSN

    1462-7264

  • e-ISSN

  • Volume of the periodical

    13

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    16

  • Pages from-to

    51-66

  • UT code for WoS article

    000297927800007

  • EID of the result in the Scopus database