Periodicity of general multidimensional continued fractions using repetend matrix form

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10489800" target="_blank" >RIV/00216208:11320/24:10489800 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/24:00374773 RIV/68407700:21340/24:00374773
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=I2cG7H.H4r" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=I2cG7H.H4r</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.exmath.2024.125571" target="_blank" >10.1016/j.exmath.2024.125571</a>

Result language
angličtina
Original language name
Periodicity of general multidimensional continued fractions using repetend matrix form
Original language description
We consider expansions of vectors by a general class of multidimensional continued fraction algorithms. If the expansion is eventually periodic, then we describe the possible structure of a matrix corresponding to the repetend and use it to prove that a number of vectors have an eventually periodic expansion in the Algebraic Jacobi-Perron algorithm. Further, we give criteria for vectors to have purely periodic expansions; in particular, the vector cannot be totally positive. (c) 2024 Elsevier GmbH. All rights reserved.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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