Exchange of three intervals: substitutions and palindromicity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F17%3A00305622" target="_blank" >RIV/68407700:21240/17:00305622 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/17:00305622
Result on the web
<a href="http://dx.doi.org/10.1016/j.ejc.2017.01.003" target="_blank" >http://dx.doi.org/10.1016/j.ejc.2017.01.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejc.2017.01.003" target="_blank" >10.1016/j.ejc.2017.01.003</a>

Result language
angličtina
Original language name
Exchange of three intervals: substitutions and palindromicity
Original language description
We study purely morphic words coding symmetric non-degenerate three interval exchange transformation which are known to be palindromic, i.e., they contain infinitely many palindromes. We prove that such words are fixed by a conjugate to a morphism of class $P$, that is a morphism such that each letter $a$ is mapped to $pp_a$ where $p$ and $p_a$ are both palindromes. We thus provide a new family of palindromic infinite words satisfying the conjecture of Hof, Knill and Simon. Given a morphism fixing such word, we give a formula to determine the parameters of the underlying three interval exchange and the intercept of the word.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

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)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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