By generalising Rudin's construction of an aperiodic sequence, we derive new substitution-based structures which have a purely absolutely continuous diffraction measure and a mixed dynamical spectrum, with absolutely continuous and pure point parts. We discuss several examples, including a construction based on Fourier matrices which yields constant-length substitutions for any length
survey (no new results), dedicated to N. K. Nikolski; added in this version: a small correction in t...
Baake M, Lenz D, van Enter A. Dynamical versus diffraction spectrum for structures with finite local...
Quasiperiodic tilings are often considered as structure models of quasicrystals. In this context, it...
By generalising Rudin's construction of an aperiodic sequence, we derive new substitution-based stru...
Modifying Rudin's original construction of the Rudin-Shapiro sequence, we derive a new substitution-...
We consider substitutions on compact alphabets and provide sufficient conditions for the diffraction...
We show that a recently proposed Rudin–Shapiro-like sequence, with balanced weights, has purely sing...
We show that a recently proposed Rudin-Shapiro-like sequence, with balanced weights, has purely sing...
The dynamical systems of bijective substitution sequences in Zd have a mixed dynamical spectrum, whi...
The translation action of Rd on a translation bounded measure ω leads to an interesting class of dyn...
The translation action of Rd on a translation bounded measure ! leads to an interesting class of dyn...
AbstractWe consider multidimensional substitutions of constant length in a primarily expository sett...
The translation action of a"e (d) on a translation bounded measure omega leads to an interesting cla...
Thesis (Ph.D.)--University of Washington, 2015In this paper, we generalize and develop results of Qu...
The squiral inflation rule is equivalent to a bijective block substitution rule and leads to an inte...
survey (no new results), dedicated to N. K. Nikolski; added in this version: a small correction in t...
Baake M, Lenz D, van Enter A. Dynamical versus diffraction spectrum for structures with finite local...
Quasiperiodic tilings are often considered as structure models of quasicrystals. In this context, it...
By generalising Rudin's construction of an aperiodic sequence, we derive new substitution-based stru...
Modifying Rudin's original construction of the Rudin-Shapiro sequence, we derive a new substitution-...
We consider substitutions on compact alphabets and provide sufficient conditions for the diffraction...
We show that a recently proposed Rudin–Shapiro-like sequence, with balanced weights, has purely sing...
We show that a recently proposed Rudin-Shapiro-like sequence, with balanced weights, has purely sing...
The dynamical systems of bijective substitution sequences in Zd have a mixed dynamical spectrum, whi...
The translation action of Rd on a translation bounded measure ω leads to an interesting class of dyn...
The translation action of Rd on a translation bounded measure ! leads to an interesting class of dyn...
AbstractWe consider multidimensional substitutions of constant length in a primarily expository sett...
The translation action of a"e (d) on a translation bounded measure omega leads to an interesting cla...
Thesis (Ph.D.)--University of Washington, 2015In this paper, we generalize and develop results of Qu...
The squiral inflation rule is equivalent to a bijective block substitution rule and leads to an inte...
survey (no new results), dedicated to N. K. Nikolski; added in this version: a small correction in t...
Baake M, Lenz D, van Enter A. Dynamical versus diffraction spectrum for structures with finite local...
Quasiperiodic tilings are often considered as structure models of quasicrystals. In this context, it...
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