Multidimensional Golay-Rudin-Shapiro structures

S. I. Ben-Abraham; Amit David

doi:10.1088/1742-6596/1458/1/012008

Multidimensional Golay-Rudin-Shapiro structures

S. I. Ben-Abraham, Amit David

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

Abstract

We extend the standard two-stage construction of the double-sided Golay-Rudin-Shapiro sequence to higher dimensions. We explicitly present the two-dimensional structure which is a convenient paradigm for all natural dimensions. We show also the three-dimensional four-symbol first-stage structure which we call proto-GRS and the final two-symbol Golay-Rudin-Shapiro structure. They may serve as models of disordered equicomposition alloys with some short range order of four and two components, respectively. Finally we show the essential features of the three- and four-dimensional structures.

Original language	English
Article number	012008
Journal	Journal of Physics: Conference Series
Volume	1458
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1458/1/012008
State	Published - 10 Feb 2020
Event	14th International Conference on Quasicrystals, ICQ 2019 - Kranjska Gora, Slovenia Duration: 26 May 2019 → 30 May 2019

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1742-6596/1458/1/012008

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title = "Multidimensional Golay-Rudin-Shapiro structures",

abstract = "We extend the standard two-stage construction of the double-sided Golay-Rudin-Shapiro sequence to higher dimensions. We explicitly present the two-dimensional structure which is a convenient paradigm for all natural dimensions. We show also the three-dimensional four-symbol first-stage structure which we call proto-GRS and the final two-symbol Golay-Rudin-Shapiro structure. They may serve as models of disordered equicomposition alloys with some short range order of four and two components, respectively. Finally we show the essential features of the three- and four-dimensional structures.",

author = "Ben-Abraham, {S. I.} and Amit David",

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AU - Ben-Abraham, S. I.

AU - David, Amit

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2020/2/10

Y1 - 2020/2/10

N2 - We extend the standard two-stage construction of the double-sided Golay-Rudin-Shapiro sequence to higher dimensions. We explicitly present the two-dimensional structure which is a convenient paradigm for all natural dimensions. We show also the three-dimensional four-symbol first-stage structure which we call proto-GRS and the final two-symbol Golay-Rudin-Shapiro structure. They may serve as models of disordered equicomposition alloys with some short range order of four and two components, respectively. Finally we show the essential features of the three- and four-dimensional structures.

AB - We extend the standard two-stage construction of the double-sided Golay-Rudin-Shapiro sequence to higher dimensions. We explicitly present the two-dimensional structure which is a convenient paradigm for all natural dimensions. We show also the three-dimensional four-symbol first-stage structure which we call proto-GRS and the final two-symbol Golay-Rudin-Shapiro structure. They may serve as models of disordered equicomposition alloys with some short range order of four and two components, respectively. Finally we show the essential features of the three- and four-dimensional structures.

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U2 - 10.1088/1742-6596/1458/1/012008

DO - 10.1088/1742-6596/1458/1/012008

M3 - Conference article

AN - SCOPUS:85079696168

SN - 1742-6588

VL - 1458

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012008

T2 - 14th International Conference on Quasicrystals, ICQ 2019

Y2 - 26 May 2019 through 30 May 2019

ER -

Multidimensional Golay-Rudin-Shapiro structures

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