Substitution-based sequences with absolutely continuous diffraction

Abstract

Modifying Rudin's original construction of the Rudin-Shapiro sequence, we derive a new substitution-based sequence with purely absolutely continuous diffraction spectrum.

5 pages

References in corpus (1)

• Can Kinematic Diffraction Distinguish Order from Disorder?

Cited by in corpus (2)

• Lyapunov exponents for binary substitutions of constant length
• Uniformly distributed orbits in ${\mathbb{T}}^d$ and singular substitution dynamical systems