Note on powers in three interval exchange transformations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00179454" target="_blank" >RIV/68407700:21340/11:00179454 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.tcs.2011.03.027" target="_blank" >http://dx.doi.org/10.1016/j.tcs.2011.03.027</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.tcs.2011.03.027" target="_blank" >10.1016/j.tcs.2011.03.027</a>

Result language
angličtina
Original language name
Note on powers in three interval exchange transformations
Original language description
We study repetitions in infinite words coding exchange of three intervals with permutation (3,2,1), called 3iet words. The language of such words is determined by two parameters $varepsilon,ell$. We show that finiteness of the index of 3iet words is equivalent to boundedness of the coefficients of the continued fraction of $varepsilon$. In this case we also give an upper and lower estimate on the index of the corresponding 3iet word.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F09%2F0584" target="_blank" >GA201/09/0584: Algebraic and combinatorial aspects of aperiodic structures</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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