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
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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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
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ISSN
0302-9743
e-ISSN
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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
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