Spectrum of a Rudin-Shapiro-like sequence
Dynamical Systems
2017-04-03 v1 Mathematical Physics
math.MP
Abstract
We show that a recently proposed Rudin-Shapiro-like sequence, with balanced weights, has purely singular continuous diffraction spectrum, in contrast to the well-known Rudin-Shapiro sequence whose diffraction is absolutely continuous. This answers a question that had been raised about this new sequence.
Keywords
Cite
@article{arxiv.1611.04446,
title = {Spectrum of a Rudin-Shapiro-like sequence},
author = {Lax Chan and Uwe Grimm},
journal= {arXiv preprint arXiv:1611.04446},
year = {2017}
}
Comments
7 pages