Characterization of model sets by dynamical systems
Baake M, Lenz D, Moody RV (2007)
ERGODIC THEORY AND DYNAMICAL SYSTEMS 27: 341-382.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Baake, MichaelUniBi;
Lenz, Daniel;
Moody, Robert V.
Einrichtung
Abstract / Bemerkung
It is shown how regular model sets can be characterized in terms of the regularity properties of their associated dynamical systems. The proof proceeds in two steps. First, we characterize regular model sets in terms of a certain map beta and then relate the properties of beta to those of the underlying dynamical system. As a by-product, we can show that regular model sets are, in a suitable sense, as close to periodic sets as possible among repetitive aperiodic sets.
Erscheinungsjahr
2007
Zeitschriftentitel
ERGODIC THEORY AND DYNAMICAL SYSTEMS
Band
27
Seite(n)
341-382
ISSN
0143-3857
Page URI
https://pub.uni-bielefeld.de/record/1594792
Zitieren
Baake M, Lenz D, Moody RV. Characterization of model sets by dynamical systems. ERGODIC THEORY AND DYNAMICAL SYSTEMS. 2007;27:341-382.
Baake, M., Lenz, D., & Moody, R. V. (2007). Characterization of model sets by dynamical systems. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 27, 341-382. https://doi.org/10.1017/S0143385706000800
Baake, Michael, Lenz, Daniel, and Moody, Robert V. 2007. “Characterization of model sets by dynamical systems”. ERGODIC THEORY AND DYNAMICAL SYSTEMS 27: 341-382.
Baake, M., Lenz, D., and Moody, R. V. (2007). Characterization of model sets by dynamical systems. ERGODIC THEORY AND DYNAMICAL SYSTEMS 27, 341-382.
Baake, M., Lenz, D., & Moody, R.V., 2007. Characterization of model sets by dynamical systems. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 27, p 341-382.
M. Baake, D. Lenz, and R.V. Moody, “Characterization of model sets by dynamical systems”, ERGODIC THEORY AND DYNAMICAL SYSTEMS, vol. 27, 2007, pp. 341-382.
Baake, M., Lenz, D., Moody, R.V.: Characterization of model sets by dynamical systems. ERGODIC THEORY AND DYNAMICAL SYSTEMS. 27, 341-382 (2007).
Baake, Michael, Lenz, Daniel, and Moody, Robert V. “Characterization of model sets by dynamical systems”. ERGODIC THEORY AND DYNAMICAL SYSTEMS 27 (2007): 341-382.
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