On shift radix systems over imaginary quadratic Euclidean domains

A. Pethő, Peter Varga, Mario Weitzer

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)485-498
Number of pages14
JournalActa Cybernetica
Volume22
Issue number2
Publication statusPublished - 2015

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Vector spaces
Euclidean
Finiteness
Direct Sum
Vector space
Circle
Radius
Generalise
Integer

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Theoretical Computer Science

Cite this

On shift radix systems over imaginary quadratic Euclidean domains. / Pethő, A.; Varga, Peter; Weitzer, Mario.

In: Acta Cybernetica, Vol. 22, No. 2, 2015, p. 485-498.

Research output: Contribution to journalArticle

Pethő, A, Varga, P & Weitzer, M 2015, 'On shift radix systems over imaginary quadratic Euclidean domains', Acta Cybernetica, vol. 22, no. 2, pp. 485-498.
Pethő, A. ; Varga, Peter ; Weitzer, Mario. / On shift radix systems over imaginary quadratic Euclidean domains. In: Acta Cybernetica. 2015 ; Vol. 22, No. 2. pp. 485-498.
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