Infinite words rich and almost rich in generalized palindromes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00184067" target="_blank" >RIV/68407700:21340/11:00184067 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/11:00184067
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Infinite words rich and almost rich in generalized palindromes
Original language description
We focus on $Theta$-rich and almost $Theta$-rich words over a finite alphabet $mathcal{A}$, where $Theta$ is an involutive antimorphism over $mathcal{A}^*$. We show that any recurrent almost $Theta$-rich word $uu$ is an image of a recurrent linebreak $Theta'$-rich word under a suitable morphism, where $Theta'$ is again an involutive antimorphism. Moreover, if the word $uu$ 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 seed is an image of an Arnoux-Rauzy word.
Czech name
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Czech description
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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>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

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

Article name in the collection
Developments in Language Theory, 15th International Conference, DLT 2011, Milan, Italy, July 19-22, 2011, Proceedings
ISBN
978-3-642-22320-4
ISSN
0302-9743
e-ISSN
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Number of pages
11
Pages from-to
406-416
Publisher name
Springer-Verlag
Place of publication
Berlin
Event location
Milan
Event date
Jul 19, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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