24 citations · 46 across the 11 of their papers we have counts for
4 papers · 1 filter
The Hausdorff dimension of spectrum of a class of gerneralized Thue-Morse Hamiltonians
Qinghui Liu, Zhiyi Tang
We study a class of Schrödinger operators with generalized Thue-Morse potential that generated by the substitution , on two symbol alphabet $Σ=…
The spectrum of period-doubling Hamiltonian
Qinghui Liu, Yanhui Qu, Xiao Yao
In this paper, we show the following: the Hausdorff dimension of the spectrum of period-doubling Hamiltonian is bigger than , where is the Golden number; there e…
Spectral Properties of Schrödinger Operators With Pattern Sturmian Potentials
David Damanik, Qing-Hui Liu, Yan-Hui Qu
We consider discrete Schrödinger operators with pattern Sturmian potentials. This class of potentials strictly contains the class of Sturmian potentials, for which the spectral pro…
Transport Exponents of Sturmian Hamiltonians
David Damanik, Anton Gorodetski, Qing-Hui Liu +1
We consider discrete Schrödinger operators with Sturmian potentials and study the transport exponents associated with them. Under suitable assumptions on the frequency, we establis…