24 citations · 57 across the 15 of their papers we have counts for
7 papers · 1 filter
Continuous spectrum for a class of smooth mixing Schrödinger operators
Bassam Fayad, Yanhui Qu
We give the first example of a smooth volume preserving mixing dynamical system such that the discrete Schrödinger operators on the line defined with a potential generated by this…
Exact-dimensional property of density of states measure of Sturm Hamiltonian
Yanhui Qu
For frequency of bounded type and coupling , we show that the density of states measure $\NN_{α,λ}$ of the related Sturm Hamiltonian is exact upper and lower dimensional,…
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…
Localized asymptotic behavior for almost additive potentials
Julien Barral, Yan-Hui Qu
We conduct the multifractal analysis of the level sets of the asymptotic behavior of almost additive continuous potentials on a topologically mixing subshift o…
Multifractal analysis and localized asymptotic behavior for almost additive potentials
Julien Barral, Yan-Hui Qu
We conduct the multifractal analysis of the level sets of the asymptotic behavior of almost-additive continuous potentials on a topologically mixing subshift o…