Number representation using generalized (-?)-transformation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00181942" target="_blank" >RIV/68407700:21340/11:00181942 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.tcs.2011.08.028" target="_blank" >http://dx.doi.org/10.1016/j.tcs.2011.08.028</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.tcs.2011.08.028" target="_blank" >10.1016/j.tcs.2011.08.028</a>

Result language
angličtina
Original language name
Number representation using generalized (-?)-transformation
Original language description
We study non-standard number systems with negative base -?. Instead of the Ito-Sadahiro definition, based on the transformation of the interval [-?/(?+1),1/(?+1)) into itself, we suggest a generalization using an interval [l,l+1) with l in (-1,0]. Such numeration systems share many properties of positive base numeration introduced by Rényi, although the proofs are not always straightforward. In this paper we focus on the description of admissible digit strings and their periodicity. We address the question of the description of reference strings used in the admissibility condition. We give examples which contradict a result of Góra and show that in this aspect the negative base numeration significantly differs from the Rényi numeration.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F09%2F0584" target="_blank" >GA201/09/0584: Algebraic and combinatorial aspects of aperiodic structures</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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