Liu Qinghui Job Title: Professor E-mail: qhliu@bit.edu.cn
Some systematic results have been obtained in spectral fractal theory of quasi-periodic potential Schrodinger operator. He chaired 4 National Natural Science Foundations and 1 Beijing Natural Science Foundation. He has visited the Department of Mathematics of the Chinese University of Hong Kong, the Department of Mathematics of the University of Southern Paris in France and the Department of Computer Science of Cornell University in the United States.
More

He is mainly engaged in fractal geometry, quasi-periodic potential discrete Schrodinger operator spectrum theory and related dynamical system theory.

From September 1996 to July 1999, he studied for a PhD in Mathematics at Wuhan University and graduated with a PhD in Science. From September 1993 to July 1996, he studied for a master's degree in Wuhan Institute of Mathematical Physics, Chinese Academy of Sciences and graduated with a Master's degree. From September 1989 to July 1993, studied in the second Department of Mechanical Engineering, Huazhong University of Science and Technology, and graduated with a Bachelor's degree in Engineering.

July 1999 - September 2001, Postdoctoral Fellow, Department of Mathematics, Nanjing University
September 2001 - July 2014, Associate Professor, School of Computer Science, Beijing Institute of Technology
July 2014 - July 2023, School of Computer Science, Beijing Institute of Technology, Professor
July 2023 - Now Professor, School of Mathematics and Statistics, Beijing Institute of Technology

1. Qing-hui LIU, Bo TAN, Zhi-xiong WEN and Jun WU, Measure zero spectrum of a class of Schrödinger operators, J. Statist. Phys. 106 (2002), no. 3-4, 681--691.
2. Qing-hui LIU and Zhi-ying WEN, Hausdorff dimension of spectrum of one-dimensional Schrödinger operator with Sturmian potentials, Potential Analysis 20:1(2004), 33-59.
3. Qing-hui LIU, Yan Hui QU, Uniform convergence of Schrodinger cocycles over simple Toeplitz subshift, Ann. Henri Poincare 12(2011), 153--172.
4. Shen FAN, Qinghui LIU, Zhiying WEN, Gibbs-like measure for spectrum of a class of one-dimensional Schrödinger operator with Sturm potentials, Ergodic Theory and Dynamical Systems 31:6(2011), 1669-1695.
5. Qing-hui LIU, Yan Hui QU, Uniform convergence of Schrodinger cocycles over bounded Toeplitz subshift, Annales Henri Poincare, 13:6(2012), 1483--1500.
6. Qing-hui LIU, Yan Hui QU, Zhiying WEN, the fractal dimensions of the spectrum of Sturm Hamiltonian, Advance in Mathematics, 257(2014), 285--336.
7. Qing-hui LIU, Yan Hui QU, On the Hausdorff Dimension of the Spectrum of the Thue–Morse Hamiltonian, Communications in Mathematical Physics, 338(2015), 867--891.
8. David DAMANIK, Anton GORODETSKI, Qing-hui LIU, Yan Hui QU, Transport exponents of Sturmian Hamiltonians, J. Funct. Anal. 269 (2015), 1404-1440.
9. Qing-hui LIU, Yan-hui QU, Xiao YAO, Unbounded Trace Orbits of Thue–Morse Hamiltonian, J. Stat. Phys. 166:6(2017), 1509-1557.
10. Bernard HELFFER, Qinghui LIU, Yanhui QU, Qi ZHOU, Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator, Communications in Mathematical Physics, 368:1 (2019), 369--382.
11. Qing-hui LIU, Yan-hui QU, Xiao YAO, The spectrum of Period-Doubling Hamiltonian, Communications in Mathematical Physics, 394:2 (2022).
12. Qing-hui LIU, Zhi-yi TANG, The Hausdorff dimension of spectrum of a class of generalized Thue-Morse Hamiltonians, Acta Mathematica Scientia, English Series, 43B:5(2023),1--8.