Generating (+-beta)-integers by Conjugated Morphisms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F13%3A00209257" target="_blank" >RIV/68407700:21240/13:00209257 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Generating (+-beta)-integers by Conjugated Morphisms
Original language description
In this paper we study the expansions of real numbers in positive and negative real base. In particular, we consider the sets $mathbb{Z}_beta^+$ and $mathbb{Z}_{-beta}$ of nonnegative $beta$-integers and $(-beta)$-integers respectively. It is well knownthat, in numerous cases, $mathbb{Z}_{-beta}$ can be completely unrelated to $mathbb{Z}_beta^+$. We precisely describe all bases for which $mathbb{Z}_beta^+$ and $mathbb{Z}_{-beta}$ can be coded by infinite words with the same language.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Local Proceedings of WORDS 2013
ISBN
978-952-12-2939-8
ISSN
1797-8831
e-ISSN
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Number of pages
12
Pages from-to
14-25
Publisher name
University of Turku
Place of publication
Turku
Event location
Turku
Event date
Sep 16, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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