个人简介:李石虎,博士,副教授,硕士生导师。博士毕业于南开大学,概率论与数理统计专业,师从谢颖超教授,主要研究方向:随机分析、随机偏微分方程。已在 Probab. Theory Related Fields , SIAM J. Math. Anal. , Ann. Inst. Henri Poincaré Probab. Stat. , J. Differential Equations 和 Science China. Mathematics 等国内外学术期刊上发表SCI论文二十余篇,主持国家自然科学基金面上项目,国家自然科学青年基金以及江苏省自然科学青年基金等项目。
E-mail: shihuli@jsnu.edu.cn.
教育经历:
2016.09-2019.06,博士, 南开大学, 概率论与数理统计,导师:谢颖超教授
2013.09-2016.06,硕士,江苏师范大学, 概率论与数理统计,导师:谢颖超教授
2009.07-2013.06,本科,江苏师范大学, 数学与应用数学
工作经历:
2022.07-至今, 副教授, 江苏师范大学数学与统计学院
2019.07-2022.07,讲师, 江苏师范大学数学与统计学院
荣誉与获奖:
2023年 江苏师范大学第十一届青年教师教学优胜赛二等奖
2022年 校先进工作者
2020年 江苏省高校第二届数学微课程教学竞赛一等奖
2020年 校先进工作者
学生培养:
硕士研究生招生专业:统计学、概率论与数理统计
每年计划招收硕士研究生2名左右,对概率论和随机分析感兴趣的同学,可以直接通过邮箱:shihuli@jsnu.edu.cn联系.
科研项目:
1. 国家自然科学基金-面上项目(12371147, 2024.01—2027.12, 主持,在研)
2. 国家自然科学基金-青年基金(12001247, 2021.01—2023.12, 主持,已结题)
3. 江苏省自然科学基金-青年基金(BK20201019, 2020.07-2023.06,主持,已结题)
4. 江苏省高校自然科学基金-面上项目(20KJB110015, 2020.07-2022.06,主持,已结题)
代表性学术论文:
10. Multi-Scale McKean-Vlasov SDEs: Moderate Deviation Principle in Different Regimes
(With Wei Hong, Ge Li)
to Appear in Ann. Inst. Henri Poincaré Probab. Stat.
9. Diffusion Approximation for Multi-Scale McKean-Vlasov SDEs Through Different Methods,
(With Wei Hong, Xiaobin Sun)
Journal of Differential Equations 414 (2025) 405–454
8. Central Limit Type Theorem and Large Deviation Principle for Multi-Scale McKean-Vlasov SDEs
(With Wei Hong, Wei Liu, Xiaobin Sun)
Probability Theory and Related Fields 187 (2023), 133-201.
7. Stochastic 3D Leray-α Model with Fractional Dissipation
(With Wei Liu, Yingchao Xie)
Science China. Mathematics 66 (2023), 2589-2614.
6. Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs
(With Wei Hong, Wei Liu)
Journal of Differential Equations 316 (2022), 94–135.
5. Large Deviations and Averaging for Stochastic Tamed 3D Navier-Stokes Equations with Fast Oscillations
(With Wei Hong, Miaomao Li, Wei Liu)
Applied Mathematics and Optimization 86 (2022), Paper no. 15, 54 pp.
4. Freidlin-Wentzell type large deviation principle for multiscale locally monotone SPDEs
(With Wei Hong, Wei Liu)
SIAM Journal on Mathematical Analysis 53 (2021), no. 6, 6517–6561.
3. Large deviation principle for McKean-Vlasov quasilinear stochastic evolution equations
(With Wei Hong, Wei Liu)
Applied Mathematics and Optimization 84 (2021), suppl. 1, S1119–S1147.
2. Asymptotic log-Harnack inequality and ergodicity for 3D Leray-α model with degenerate type noise
(With Wei Hong, Wei Liu)
Potential Analysis 55 (2021), no. 3, 477–490.
1. Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise
(With Wei Hong, Wei Liu)
Journal of Evolution Equations 21 (2021), no. 1, 419–440.