Fixed Points of Sturmian Morphisms and Their Derivated Words
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F18%3A00322808" target="_blank" >RIV/68407700:21240/18:00322808 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00322808
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0304397518304535" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0304397518304535</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.tcs.2018.06.037" target="_blank" >10.1016/j.tcs.2018.06.037</a>
Alternative languages
Result language
angličtina
Original language name
Fixed Points of Sturmian Morphisms and Their Derivated Words
Original language description
Any infinite uniformly recurrent word u can be written as concatenation of a finite number of return words to a chosen prefix w of u. Ordering of the return words to w in this concatenation is coded by derivated word d_u(w). In 1998, Durand proved that a fixed point u of a primitive morphism has only finitely many derivated words d_u(w) and each derivated word d_u(w) is fixed by a primitive morphism as well. In our article we focus on Sturmian words fixed by a primitive morphism. We provide an algorithm which to a given Sturmian morphism ψ lists the morphisms fixing the derivated words of the Sturmian word u = psi(u). We provide a sharp upper bound on length of the list.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
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>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theoretical Computer Science
ISSN
0304-3975
e-ISSN
1879-2294
Volume of the periodical
743
Issue of the periodical within the volume
September
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
23-37
UT code for WoS article
000444661700003
EID of the result in the Scopus database
2-s2.0-85049740599