Cut and project sequences and substitution rules

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F01%3A04149312" target="_blank" >RIV/68407700:21340/01:04149312 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Cut and project sequences and substitution rules

Original language description

We consider infinite words in a 3-letter alphabet which arise from the cut-and-project scheme based on quadratic unitary Pisot numbers. Such sequences may be considered as ternary generalizations of classical Sturmian sequences. We describe the complexity of such sequences and give a condition under which these generalized Sturmian sequences are invariant under a substitution rule.

Czech name

Cut-and-project posloupnosti a substituční pravidla

Czech description

Uvažujeme nekonečná slova vznikající cut-and-project schématem založeném na kvadratických Pisotových jednotkách. Tato slova jsou ternárním zobecněním sturmovských slov. Popisujeme jejich komplexitu a ukazujeme podmínku, za které jsou invariantní na substituci

Type

J_x - 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/GA201%2F01%2F0130" target="_blank" >GA201/01/0130: Some aspects of quantum group and self-similar aperiodic structures</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2001

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Ferroelectrics

ISSN

0015-0193

e-ISSN

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Volume of the periodical

250

Issue of the periodical within the volume

1-4

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

4

Pages from-to

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UT code for WoS article

000173957200039

EID of the result in the Scopus database

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