1. Cao, Jie; Qu, Yanhui Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians. Adv. Math. 478 (2025), Paper No. 110387, 74 pp.
2. Liu, Qinghui; Qu, Yanhui; Yao, Xiao The spectrum of period-doubling Hamiltonian. Comm. Math. Phys. 394 (2022), no. 3, 1039–1100.
3. Helffer, Bernard; Liu, Qinghui; Qu, Yanhui; Zhou, Qi Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator. Comm. Math. Phys. 368 (2019), no. 1, 369–382.
4. Qu, Yanhui Exact-dimensional property of density of states measure of Sturm Hamiltonian. Int. Math. Res. Not. IMRN 2018, no. 17, 5417–5454.
5. Qu, Yan-Hui The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type. Ann. Henri Poincaré 17 (2016), no. 9, 2475–2511.
6. Damanik, David; Gorodetski, Anton; Liu, Qing-Hui; Qu, Yan-Hui Transport exponents of Sturmian Hamiltonians. J. Funct. Anal. 269 (2015), no. 5, 1404–1440.
7. Liu, Qinghui; Qu, Yanhui On the Hausdorff dimension of the spectrum of the Thue-Morse Hamiltonian. Comm. Math. Phys. 338 (2015), no. 2, 867–891.
8. Liu, Qing-Hui; Qu, Yan-Hui; Wen, Zhi-Ying The fractal dimensions of the spectrum of Sturm Hamiltonian. Adv. Math. 257 (2014), 285–336.
9. Liu, Qing-Hui; Qu, Yan-Hui Uniform convergence of Schrödinger cocycles over simple Toeplitz subshift. Ann. Henri Poincaré 12 (2011), no. 1, 153–172.
10. Qu, Yan-hui; Rao, Hui; Wen, Zhi-ying; Xue, Yu-mei Maximal pattern complexity of higher dimensional words. J. Combin. Theory Ser. A 117 (2010), no. 5, 489–506.