Substitutions over infinite alphabet generating (-beta)-integers

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00196439" target="_blank" >RIV/68407700:21340/12:00196439 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1142/S0129054112400667" target="_blank" >http://dx.doi.org/10.1142/S0129054112400667</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0129054112400667" target="_blank" >10.1142/S0129054112400667</a>

Result language

angličtina

Original language name

Substitutions over infinite alphabet generating (-beta)-integers

Original language description

We study positional numeration systems with negative base called (-beta)-expansions in a more general setting than that of Ito and Sadahiro. We give an admissibility criterion for (-beta)-expansions and discuss the properties of the set of (-beta)-integers, denoted by Z(-beta). We give a description of distances between consecutive (-beta)-integers and show that Z(-beta) can be coded by an infinite word over an infinite alphabet, which is a fixed point of a non-erasing non-trivial morphism. We give a set of examples where Z(beta) is coded by an infinite word over a finite alphabet.

Czech name

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Czech description

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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

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

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

Name of the periodical

International Journal of Foundations of Computer Science

ISSN

0129-0541

e-ISSN

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Volume of the periodical

23

Issue of the periodical within the volume

8

Country of publishing house

SG - SINGAPORE

Number of pages

14

Pages from-to

1627-1640

UT code for WoS article

000316500200005

EID of the result in the Scopus database

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