Pethő Attila and Varga Péter and Weitzer Mario: On shift radix systems over imaginary quadratic euclidean domains. In: Acta cybernetica, (22) 2. pp. 485-498. (2015)
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Abstract
In this paper we generalize the shift radix systems to finite dimensional Hermitian vector spaces. Here the integer lattice is replaced by the direct sum of imaginary quadratic Euclidean domains. We prove in two cases that the set of one dimensional Euclidean shift radix systems with finiteness property is contained in a circle of radius 0.99 around the origin. Thus their structure is much simpler than the structure of analogous sets.
Item Type: | Article |
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Journal or Publication Title: | Acta cybernetica |
Date: | 2015 |
Volume: | 22 |
Number: | 2 |
ISSN: | 0324-721X |
Page Range: | pp. 485-498 |
Language: | English |
Place of Publication: | Szeged |
Related URLs: | http://acta.bibl.u-szeged.hu/38540/ |
DOI: | 10.14232/actacyb.22.2.2015.14 |
Uncontrolled Keywords: | Euklideszi tér |
Additional Information: | Bibliogr.: p. 497-498. ; összefoglalás angol nyelven |
Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
Date Deposited: | 2016. Oct. 17. 10:36 |
Last Modified: | 2022. Jun. 20. 10:59 |
URI: | http://acta.bibl.u-szeged.hu/id/eprint/36291 |
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