Yanhui Qu

activity

20102025

most citedThe fractal dimensions of the spectrum of Sturm Hamiltonian

24 citations · 57 across the 15 of their papers we have counts for

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2018★ 4 cited

Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator

Bernard Helffer, Qinghui Liu, Yanhui Qu +1

We show that there exists a dense set of frequencies with positive Hausdorff dimension for which the Hausdorff dimension of the spectrum of the critical almost Mathieu operator is…

math-ph2016★ 2 cited

"Mixed spectral nature" of Thue--Morse Hamiltonian

Qinghui Liu, Yanhui Qu, Xiao Yao

We find three dense subsets $Σ_{I}, Σ_{I I}$ and $Σ_{I I I}$ of the spectrum of the Thue-Morse Hamiltonian, such that each energy in $Σ_{I}$ is extended, each energy in $Σ_{I I}$ is pseudo-…

math-ph2013★ 24 cited

The fractal dimensions of the spectrum of Sturm Hamiltonian

Qinghui Liu, Yanhui Qu, Zhiying Wen

Let $α \in (0, 1)$ be irrational and $[0; a_{1}, a_{2}, \dots]$ be the continued fraction expansion of $α$ . Let $H_{α, V}$ be the Sturm Hamiltonian with frequency $α$ and coupling $V$ , $Σ_{α…