Qinghui Liu

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20092026

most citedGibbs-like measure for spectrum of a class of one-dimensional Schrödinger operator with Sturm potentials

1 citations · 1 across the 3 of their papers we have counts for

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math.DS2026

The Hausdorff dimension of the spectrum of the Thue-Morse Hamiltonian

Qinghui Liu, Yiran Lv

In 2015, Liu, Qu (Commun. Math. Phys., Vol. 338) show that the Hausdorff dimension of the spectrum of the Thue-Morse Hamiltonian admits a positive lower bound independent of the co…

math.DS2009★ 1 cited

Gibbs-like measure for spectrum of a class of one-dimensional Schrödinger operator with Sturm potentials

Shen Fan, Qing-Hui Liu, Zhi-Ying Wen

Let $α \in (0, 1)$ be an irrational, and $[0; a_{1}, a_{2}, ...]$ the continued fraction expansion of $α$ . Let $H_{α, V}$ be the one-dimensional Schrödinger operator with Sturm potential of f…