Huai'bin Li

Professor

Education Background:

September 2001 - July 2005: Bachelor's Degree in Mathematics and Applied Mathematics, School of Mathematics and Information Science, Henan Normal University

September 2005 - June 2010: Doctorate in Pure Mathematics (Master-Doctorate Program), Department of Mathematics, University of Science and Technology of China

Work Experience:

July 2010 - December 2013: Lecturer, School of Mathematics and Statistics, Henan University

December 2010 - August 2013: Postdoctoral Researcher, Department of Mathematics, Pontificia Universidad Católica de Chile

July 2011 - April 2012: Visiting Scholar, Department of Mathematics, Brown University, USA

December 2013 - January 2019: Associate Professor, School of Mathematics and Statistics, Henan University

January 2016 - January 2017: Visiting Scholar, School of Mathematics and Statistics, University of St. Andrews, UK

January 2019 - February 2024: Professor, School of Mathematics and Statistics, Henan University

March 2024 - Present: Professor, Department of Mathematics, School of Humanities and Sciences, China University of Petroleum (Beijing), Karamay Campus

Courses Taught:

1. Real Analysis
2. Complex Analysis
3. Advanced Mathematics A
4. Advanced Mathematics B
5. Complex Analysis and Integral Transforms

Research Direction:

1. Complex Dynamical Systems

Research Projects:

1. Non-uniform Hyperbolicity Conditions and Dimension of Julia Sets in Complex Dynamical Systems, January 2012 - December 2014, National Natural Science Foundation of China Youth Project, Principal Investigator.

2. Research on Several Issues in One-dimensional Real or Complex Dynamical Systems, January 2015 - December 2018, National Natural Science Foundation of China General Project, Principal Investigator.

3. Research on Statistical Properties and Dimension Theory of One-dimensional Dynamical Systems, January 2019 - December 2022, National Natural Science Foundation of China General Project, Principal Investigator.

Representative Publications:

1. H. Li. Topological invariance of the Collet-Eckmann condition for one-dimensional maps, Nonlinearity, 30: 2010-2022, 2017.

2. H. Li. Large deviation principles of one-dimensional maps for Hölder continuous potentials. Ergodic Theory Dynam. Systems. 36(1):127-141, 2016.

3. H. Li; J. Rivera-Letelier. Equilibrium states of weakly hyperbolic one-dimensional maps for Hölder potentials. Comm. Math. Phys., 328(1):397-419, 2014.

4. H. Li; W. Shen. Topological invariance of a strong summability condition in one-dimensional dynamics. Int. Math. Res. Not., 8:1783-1799, 2013.

5. H. Li; W. Shen. On non-uniform hyperbolicity assumptions in one-dimensional dynamics. Science China: Mathematics, 53(7):1663-1677, 2010.

Contact Information:

E-mail: 2024592103@cupk.edu.cn