Squirals and beyond: substitution tilings with singular continuous spectrum
Baake M, Grimm U (2014)
Ergodic Theory and Dynamical Systems 34: 1077-1102.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Baake, MichaelUniBi;
Grimm, Uwe
Einrichtung
Abstract / Bemerkung
The squiral inflation rule is equivalent to a bijective block substitution rule and leads to an interesting lattice dynamical system under the action of Z(2). In particular, its balanced version has purely singular continuous diffraction. The dynamical spectrum is of mixed type, with pure point and singular continuous components. We present a constructive proof that admits a generalization to bijective block substitutions of trivial height on Z(d).
Erscheinungsjahr
2014
Zeitschriftentitel
Ergodic Theory and Dynamical Systems
Band
34
Seite(n)
1077-1102
ISSN
0143-3857
Page URI
https://pub.uni-bielefeld.de/record/2699765
Zitieren
Baake M, Grimm U. Squirals and beyond: substitution tilings with singular continuous spectrum. Ergodic Theory and Dynamical Systems. 2014;34:1077-1102.
Baake, M., & Grimm, U. (2014). Squirals and beyond: substitution tilings with singular continuous spectrum. Ergodic Theory and Dynamical Systems, 34, 1077-1102. https://doi.org/10.1017/etds.2012.191
Baake, Michael, and Grimm, Uwe. 2014. “Squirals and beyond: substitution tilings with singular continuous spectrum”. Ergodic Theory and Dynamical Systems 34: 1077-1102.
Baake, M., and Grimm, U. (2014). Squirals and beyond: substitution tilings with singular continuous spectrum. Ergodic Theory and Dynamical Systems 34, 1077-1102.
Baake, M., & Grimm, U., 2014. Squirals and beyond: substitution tilings with singular continuous spectrum. Ergodic Theory and Dynamical Systems, 34, p 1077-1102.
M. Baake and U. Grimm, “Squirals and beyond: substitution tilings with singular continuous spectrum”, Ergodic Theory and Dynamical Systems, vol. 34, 2014, pp. 1077-1102.
Baake, M., Grimm, U.: Squirals and beyond: substitution tilings with singular continuous spectrum. Ergodic Theory and Dynamical Systems. 34, 1077-1102 (2014).
Baake, Michael, and Grimm, Uwe. “Squirals and beyond: substitution tilings with singular continuous spectrum”. Ergodic Theory and Dynamical Systems 34 (2014): 1077-1102.
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