Balancedness of Arnoux-Rauzy and Brun words
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00206895" target="_blank" >RIV/68407700:21340/13:00206895 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/chapter/10.1007/978-3-642-40579-2_14" target="_blank" >http://link.springer.com/chapter/10.1007/978-3-642-40579-2_14</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-40579-2_14" target="_blank" >10.1007/978-3-642-40579-2_14</a>
Alternative languages
Result language
angličtina
Original language name
Balancedness of Arnoux-Rauzy and Brun words
Original language description
We study balancedness properties of words given by the Arnoux-Rauzy and Brun multi-dimensional continued fraction algorithms. We show that almost all Brun words on 3 letters and Arnoux-Rauzy words over arbitrary alphabets are finitely balanced; in particular, boundedness of the strong partial quotients implies balancedness. On the other hand, we provide examples of unbalanced Brun words on 3 letters.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-03538S" target="_blank" >GA13-03538S: Algorithms, Dynamics and Geometry of Numeration systems</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Combinatorics on Words
ISBN
978-3-642-40578-5
ISSN
0302-9743
e-ISSN
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Number of pages
13
Pages from-to
119-131
Publisher name
Springer-Verlag
Place of publication
Berlin
Event location
Turku
Event date
Sep 16, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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