中文 Tsinghua University Access to the old version Talent Recruitment

Qu Yanhui

  • Associate professor
  • Tel: 8610-62798218
  • Email: yhqu@tsinghua.edu.cn

Education

200209-200606: Phd, Tsinghua University

199909-200206: Master, Wuhan University

199509-199906: Undergraduate, Wuhan University


Work Experience

201509-now: Associate professor, Tsinghua University

200806-201508: Assistant professor, Tsinghua University

200606-200806: Postdoc, Tsinghua University


Research Interests

1. Mathematical physics, spectral theory

2. Dynamical systems

3. Fractal geometry


Teaching

1. 2025 Autumn: Nonlinear functional analysis & ODE

2. 2024 Autumn: Mathematical analysis (III) & ODE

3. 2024 Spring: Mathematical analysis (II)

4. 2023 Autumn: Mathematical analysis (I)

5. 2023 Spring: Functional analysis

6. 2022 Autumn: ODE

7. 2022 Spring: Functional analysis

8. 2021 Autumn: Functional analysis

9. 2021 Spring: Real analysis

10. 2020 Autumn: ODE

11. 2020 Spring: Real analysis

12. 2019 Autumn: Linear algebra

13. 2018 Autumn: ODE

14. 2018 Spring: Complex analysis


Selected Publications

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.