On the spectra of Pisot-cyclotomic numbers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10383379" target="_blank" >RIV/00216208:11320/18:10383379 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00316624
Result on the web
<a href="https://doi.org/10.1007/s11005-018-1053-4" target="_blank" >https://doi.org/10.1007/s11005-018-1053-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-018-1053-4" target="_blank" >10.1007/s11005-018-1053-4</a>

Result language
angličtina
Original language name
On the spectra of Pisot-cyclotomic numbers
Original language description
We investigate the complex spectra X-A(beta) = {Sigma(n)(j=0) a(j)beta(j) : n is an element of N, a(j) is an element of A} where beta is a quadratic or cubic Pisot-cyclotomic number and the alphabet A is given by 0 along with a finite collection of roots of unity. Such spectra are discrete aperiodic structures with crystallographically forbidden symmetries. We discuss in general terms under which conditions they possess the Delone property required for point sets modeling quasicrystals. We study the corresponding Voronoi tilings and we relate these structures to quasilattices arising from the cut-and-project method.
Czech name
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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
<a href="/en/project/GA13-03538S" target="_blank" >GA13-03538S: Algorithms, Dynamics and Geometry of Numeration systems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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