刘磊,男,1981年11月生,河南夏邑人,教授,河南省高等学校青年骨干教师,河南省教学标兵,美国《数学评论》评论员,2012年毕业于四川大学数学学院应用数学专业,获理学博士学位。主持完成国家自然科学基金青年基金1项,主持完成河南省科技厅项目1项,主持完成河南省高等学校重点科研项目2项,主持完成河南省高等教育教学改革研究与实践项目1项。2018年获“河南省教育系统教学技能竞赛一等奖”,授予“河南省教学标兵”称号;2017年获“商师最美十佳教师”荣誉称号;2015年获“河南省第三届青年教师数学教学技能竞赛三等奖”,2014年获“商丘师范学院文明教师”称号;2013年获“河南省教育系统教学技能竞赛二等奖”。
研究方向:拓扑动力系统与遍历理论
代表性论文:
[1]Lei Liu, Dongmei Peng, Variational principle for polynomial entropy on subsets of free semigroup actions, Journal of Difference Equations and Applications, 2023, 29(5), 603-619.
[2] Lei Liu, Cao Zhao, Polynomial entropy of subsets for free semigroup actions, Journal of Dynamical and Control Systems, 2023,29, 229–243.
[3]Lei Liu, Xiaoyao Zhou,Polynomial entropy of amenable group actions for noncompact sets, Acta Mathematica Sinica, English Series, 2023, 39(7), 1351-1368.
[4]Lei Liu, Cao Zhao, Topological pressure of a factor map for nonautonomous dynamical systems, Dynamical Systems, 2023, 38(3), 353-364.
[5]Lei Liu, Jinlei, Jiao, Xiaoyao Zhou,Unstable pressure of subsets for partially hyperbolic systems, Dynamical Systems, 2022, 37(4), 564-577.
[6]Lei Liu, Cao Zhao, Polynomial entropy of nonautonomous dynamical systems for noncompact sets,Journal of Mathematical Analysis and Applications, 2022, 529(2), 125974.
[7]Lei Liu, Xiaomin Zhou, Xiaoyao Zhou,Preimage entropy dimension of topological dynamical systems, Taiwanese Journal of Mathematics, 2021, 25(6), 1225-1239.
[8]Lei Liu, Huajun Gong, Xiaoyao Zhou, Topological pressure dimension for almost additive potentials, Dynamical Systems, 2021, 31(3), 357-374.
[9]Lei Liu, Shuli Zhao,Martelli's chaos in inverse limit dynamical systems and hyperspace dynamical systems,Results in Mathematics, 2013, 63, 195-207.
[10]Lei Liu,Pre-image entropy for maps on noncompact topological spaces,Acta Mathematics Universitatis Comenianae, 2013, 82(2), 219-230.
[11]Lei Liu, Bin Chen, On ω-limit sets and attraction of non-autonomous discrete dynamical systems,Journal of the Korean Mathematical Society, 2012, 49(4), 703-713.
[12]Lei Liu, Yangeng Wang, Guo Wei, Topological entropy of continuous functions on topological spaces,Chaos Solitons Fractals, 2009, 39(1), 417-427.