On shift radix systems over imaginary quadratic euclidean domains

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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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
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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