Almost rich words as morphic images of rich words

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00196430" target="_blank" >RIV/68407700:21340/12:00196430 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/12:00196430
Result on the web
<a href="http://dx.doi.org/10.1142/S012905411240045X" target="_blank" >http://dx.doi.org/10.1142/S012905411240045X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S012905411240045X" target="_blank" >10.1142/S012905411240045X</a>

Result language
angličtina
Original language name
Almost rich words as morphic images of rich words
Original language description
We focus on Theta-rich and almost Theta-rich words over a finite alphabet , where Theta is an involutive antimorphism over . We show that any recurrent almost Theta-rich word u is an image of a recurrent Theta'-rich word under a suitable morphism, whereTheta' is also an involutive antimorphism. Moreover, if the word u is uniformly recurrent, we show that Theta' can be set to the reversal mapping. We also treat one special case of almost Theta-rich words: we show that every Theta-standard word with seedis an image of an Arnoux-Rauzy word.
Czech name
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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
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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

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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