Morphic images of episturmian words having finite palindromic defect

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F16%3A00230715" target="_blank" >RIV/68407700:21240/16:00230715 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ejc.2015.07.001" target="_blank" >http://dx.doi.org/10.1016/j.ejc.2015.07.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejc.2015.07.001" target="_blank" >10.1016/j.ejc.2015.07.001</a>

Result language
angličtina
Original language name
Morphic images of episturmian words having finite palindromic defect
Original language description
We study morphisms from certain classes and their action on episturmian words.The first class is $P_{ret}$. In general, a morphism of class $P_{ret}$ can map an infinite word having zero palindromic defect to a word having infinite palindromic defect. We show that the image of an episturmian word, which has zero palindromic defect, under a morphism of class $P_{ret}$ has always its palindromic defect finite. We also focus on letter-to-letter morphisms to binary alphabet: we show that images of ternary episturmian words under such morphisms have zero palindromic defect. These results contribute to the study of an unsolved question of characterization of morphisms that preserve finite, or even zero, palindromic defect. They also enable us to construct new examples of binary words having zero or finite $H$-palindromic defect, where $H = {{rm Id}, R, E, RE }$ is the group generated by both involutory antimorphisms on a binary alphabet.
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
<a href="/en/project/GP13-35273P" target="_blank" >GP13-35273P: Algorithms for circular morphisms and their fixed points</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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