Pure Mathematics Colloquium - Singular diffraction spectrum for certain mixture of Rudin-Shapiro type substitutions

Speaker:   Yasushi Nagai (Shinshu University)

Abstract: In the context of mathematics of quasicrystals, ergodic theory and harmonic analysis, Rudin-Shapiro sequence is interesting because it has non-zero absolutely continuous diffraction spectrum. This sequence is constructed via a Rudin-Shapiro type substitution. In this talk, we construct new sequences by mixing two Rudin-Shapiro type substitutions, and show that these sequences have zero absolutely continuous diffraction spectrum.

This is a joint work with Uwe Grimm.