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Critical exponents of regular Arnoux-Rauzy sequences

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00370215" target="_blank" >RIV/68407700:21340/23:00370215 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/978-3-031-33180-0_10" target="_blank" >https://doi.org/10.1007/978-3-031-33180-0_10</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-33180-0_10" target="_blank" >10.1007/978-3-031-33180-0_10</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Critical exponents of regular Arnoux-Rauzy sequences

  • Original language description

    "We provide a formula for the critical exponent and the asymptotic critical exponent of regular Arnoux-Rauzy sequences. Over the binary alphabet it coincides with a well-known formula for Sturmian sequences based on their S-adic representation. We show that among regular d-ary Arnoux-Rauzy sequences, the minimal (asymptotic) critical exponent is reached by the d-bonacci sequence.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10100 - Mathematics

Result continuities

  • Project

    <a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

  • ISBN

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    130-142

  • Publisher name

    Springer Nature Switzerland AG

  • Place of publication

    Cham

  • Event location

    Umea

  • Event date

    Jun 12, 2023

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article