24 citations · 57 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
On the Hausdorff dimension of the spectrum of Thue-Morse Hamiltonian
Qinghui Liu, Yanhui Qu
We show that the Hausdorff dimension of the spectrum of the Thue-Morse Hamiltonian has a common positive lower bound for all coupling.
The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type
Yanhui Qu
We study the spectral properties of the Sturm Hamiltolian of eventually constant type, which includes the Fibonacci Hamiltonian. Let be the Hausdorff dimension of the spectrum.…
Iteration of polynomial pair under Thue-Morse dynamic
Qinghui Liu, Yanhui Qu
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 li…