Iteration of polynomial pair under Thue-Morse dynamic
Dynamical Systems
2014-03-11 v1
Abstract
We study the behavior of a polynomial sequence which is defined by iterating a polynomial pair under Thue-Morse dynamic. We show that in suitable sense, the sequence will behave like . Basing on this property we can show that the Hausdorff dimension of the spectrum of the Thue-Morse Hamiltonian has a common positive lower bound for all coupling.
Keywords
Cite
@article{arxiv.1403.2257,
title = {Iteration of polynomial pair under Thue-Morse dynamic},
author = {Qinghui Liu and Yanhui Qu},
journal= {arXiv preprint arXiv:1403.2257},
year = {2014}
}