Palindromic length of words and morphisms in class P

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00331007" target="_blank" >RIV/68407700:21340/19:00331007 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.tcs.2019.02.024" target="_blank" >https://doi.org/10.1016/j.tcs.2019.02.024</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.tcs.2019.02.024" target="_blank" >10.1016/j.tcs.2019.02.024</a>

Result language
angličtina
Original language name
Palindromic length of words and morphisms in class P
Original language description
We study the palindromic length of factors of infinite words fixed by morphisms of the so-called class P introduced by Hof, Knill and Simon. We show that it grows at most logarithmically with the length of the factor. For the Fibonacci word and the Thue–Morse word we provide explicit bounds on their rate of growth. We also construct an infinite word rich in palindromes for which the palindromic length grows as $sqrt{n}$.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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