A Special Case of the Binary S-adic Pisot Conjecture

This talk explores a special case of the Binary S-adic Pisot Conjecture as part of the Workshop on "Uniform Distribution of Sequences" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) in April 2025. Delve into the extension of the Pisot condition from single substitution generated words to S-adic words. Learn how the speaker proves that words in a certain class of binary S-adic words satisfying the Pisot condition have pure point spectra. The 33-minute presentation contributes to the broader conjecture that dynamical spectra of substitutive words satisfying the Pisot condition are pure point.