The singular continuous diffraction measure of the Thue-Morse chain
Dynamical Systems
2008-10-06 v2 Mathematical Physics
math.MP
Abstract
The paradigm for singular continuous spectra in symbolic dynamics and in mathematical diffraction is provided by the Thue-Morse chain, in its realisation as a binary sequence with values in . We revisit this example and derive a functional equation together with an explicit form of the corresponding singular continuous diffraction measure, which is related to the known representation as a Riesz product.
Cite
@article{arxiv.0809.0580,
title = {The singular continuous diffraction measure of the Thue-Morse chain},
author = {Michael Baake and Uwe Grimm},
journal= {arXiv preprint arXiv:0809.0580},
year = {2008}
}
Comments
6 pages, 1 figure; revised and improved version