刘磊，博士，教授，硕士生导师。河南省高等学校青年骨干教师，河南省教学标兵，河南省应用统计学会常务理事、河南省数学会理事，美国《数学评论》评论员。2012年毕业于四川大学应用数学专业，获理学博士学位。在国内外期刊上发表学术论文50余篇，其中SCI检索40篇，中文核心期刊8篇。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4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，主持河南省教师教育课程改革研究项目重点项目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

近五年代表性论文

2026年发表论文：

[1] Lei Liu, Dongmei Peng, Generalized multifractal measures with gauge functions for some self-similar sets, Chaos Solitons Fractals, 208(2026), 118314.

[2] Lei Liu, Dongmei Peng, Variational principle for neutralized topological pressure on subsets under amenable group actions, Qualitative Theory of Dynamical Systems, 25 (2026), no. 3 Paper No. 80, 26 pp.

[3] Lei Liu, Dongmei Peng, Variational principle and Bowen equation for the packing BS dimension under amenable group actions, Journal of Mathematical Analysis and Applications, 557 (2026), no. 2, Paper No. 130342, 19 pp.

[4] Lei Liu, Cao Zhao, On the topological entropy of induced transformations for non-autonomous iterated function systems, Acta Mathematicae Applicatae Sinica, English Series, (2026).

[5] Lei Liu, Cao Zhao, Quantitative Poincare recurrence and multifractal analysis of local entropie, Advances in Mathematics (China), 55(2026), 1026-1038.

[6] Dongmei Peng, Lei Liu, Topological pressure spectrum of Birkhoff averages in multifractal analysis, Discrete and Continuous Dynamical Systems. Series S, 25 (2026), 47-58.

2025年发表论文：

[1] Lei Liu, Dongmei Peng, On the variational principle for BS dimension in amenable group actions, Qualitative Theory of Dynamical Systems, 24 (2025), no. 3, Paper No. 152, 23 pp.

[2] Lei Liu, Cao Zhao, Bowen's equations for packing BS dimension of subsets for free semigroup actions, Journal of Difference Equations and Applications, 31 (2025), 369-388.

[3] Lei Liu, Jinlei Jiao, Xiaoyao Zhou, Topological entropy dimension of amenable group actions for noncompact sets, Frontiers of Mathematics, 20 (2025), 375-401.

[4] Dongmei Peng, Lei Liu, Bowen's equations for upper metric mean dimension with potential of free semigroup actions, Dynamical Systems, 40 (2025), 626-641.

[5] Dongmei Peng, Lei Liu, Topological entropy of induced spaces for an iterated function system, Journal of Difference Equations and Applications, 31 (2025), 478-489.

2024年发表论文：

[1] Lei Liu, Cao Zhao, Variational principles for BS dimension of subsets for free semigroup actions, Journal of Dynamical and Control Systems, 30 (2024), Paper No. 42, 15 pp.

[2] Lei Liu, Cao Zhao, Multifractal analysis of local polynomial entropies, Frontiers of Mathematics, 19 (2024), 89-105.

[3] Lei Liu, Cao Zhao, Topological pressures on subsets for nonautonomous dynamical systems, Advances in Mathematics (China), 53 (2024), 1239-1255.

2023年发表论文：

[1] Lei Liu, Xiaoyao Zhou, Polynomial entropy of amenable group actions for noncompact sets, Acta Mathematica Sinica, English Series, 39(2023), 1351-1368.

[2] Lei Liu, Dongmei Peng, Variational principle for polynomial entropy on subsets of free semigroup actions, Journal of Difference Equations and Applications, 29(2023), 603-619.

[3] Lei Liu, Cao Zhao, Topological pressure of a factor map for nonautonomous dynamical systems, Dynamical Systems, 38(2023), 353-364.

[4] Lei Liu, Cao Zhao, Polynomial entropy of subsets for free semigroup actions, Journal of Dynamical and Control Systems, 29(2023), 229-243.

[5] Junjie Zhang, Cao Zhao, Lei Liu, A note on the measure-theoretic pressure in mean metric, Bulletin of the Malaysian Mathematical Sciences Society, 46 (2023), Paper No. 78, 14 pp.

2022年发表论文：

[1] Lei Liu, Jinlei, Jiao, Xiaoyao Zhou, Unstable pressure of subsets for partially hyperbolic systems, Dynamical Systems, 37(2022), 564-577.

[2] Lei Liu, Cao Zhao, Polynomial entropy of nonautonomous dynamical systems for noncompact sets, Journal of Mathematical Analysis and Applications, 529(2022), 125974.

[3] Bin Zhang, Lei Liu, A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems, Open Mathematics, 20 (2022), 1715–1722.

2021年发表论文：

Lei Liu, Xiaomin Zhou, Xiaoyao Zhou, Preimage entropy dimension of topological dynamical systems, Taiwanese Journal of Mathematics, 25(2021), 1225-1239.