The Stern-Brocot graph in Mobius number systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11620%2F12%3A10124099" target="_blank" >RIV/00216208:11620/12:10124099 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0951-7715/25/1/57" target="_blank" >http://dx.doi.org/10.1088/0951-7715/25/1/57</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0951-7715/25/1/57" target="_blank" >10.1088/0951-7715/25/1/57</a>

Result language
angličtina
Original language name
The Stern-Brocot graph in Mobius number systems
Original language description
We characterize interval Mobius number systems with sofic expansion subshifts and show that they can be obtained as factors of interval Mobius number systems with expansion subshifts of finite types. The endpoints of interval cylinders of such systems can be computed by a simple formula which generalizes the computation of Farey fractions in the Stern-Brocot graph. We treat in detail the bimodular number system which has many nice properties and could be used for exact real computer arithmetic.
Czech name
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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
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Project
<a href="/en/project/GA201%2F09%2F0854" target="_blank" >GA201/09/0854: Dynamics of Iterative Systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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