胡泽春
教授
个人简介
教育经历 1995.9-1999.7:四川大学数学学院,应用数学,学士 1999.9-2001.7:四川大学数学学院,运筹学与控制论,硕士(提前攻读博士) 2001.9-2004.7:四川大学数学学院,概率论与数理统计,博士
工作经历 2004.07-2006.06:南京大学数学系,讲师 2004.12-2005.10:加拿大康戈迪亚大学,博士后 2006.07-2013.12:南京大学数学系,副教授 2014.01-2015.07:南京大学数学系,教授 2015.08----至今:四川大学数学学院,教授 2018.11-2019.10:加拿大康戈迪亚大学,访问学者
编著教材 《高等概率论基础及极限理论》,清华大学出版社,2014.
主讲课程 本科生:数学分析,实变函数,概率论,微积分,数学文化(通识课) 研究生:概率论,随机过程
科研项目 关于高斯分布的几个猜测及相关问题,国家自然科学基金面上项目,2022.1-2025.12 Levy过程的位势理论及相关问题,国家自然科学基金面上项目 带跳观测的非线性滤波,国家自然科学基金面上项目 马氏过程与非线性狄氏型,江苏省自然科学基金面上项目 狄氏型与非线性滤波,国家自然科学基金青年基金 狄氏型与非线性滤波理论及其应用,国家自然科学基金天元基金
研究领域
概率论与随机分析
学术兼职
中国概率统计学会第11届理事
《应用概率统计》编委,2019-
《国际应用数学进展》编委,2020-
美国《Mathematical Review》评论员,2007-
德国《zbMATH》评论员,2014-
近期论文
15.C.-X. Hao, Z.-C. Hu, T. Ma, R.M. Song: Three favorite edges occurs infinitely often for one-dimensional simple random walk, Submitted, 2021.
14. G. L. Lan, Z.-C. Hu, W. Sun: Products of Conditional Expectation Operators: Convergence and Divergence,Journal of Theoretical Probability, 34, 1012-1028 (2021).
13. Z.-C. Hu, G. L. Lan, W. Sun: Some explorations on two conjectures about Rademacher Sequences,Acta Mathematicae Applicatae Sinica (English Series), 37(1), 1-16 (2021).
12. Z.-C. Hu, W. Sun: Hunt's hypothesis (H) for Markov processes: survey and beyond,Acta Mathematica Sinica (English Series), 37(3), 491-508 (2021).
11. Z.-C. Hu, W. Sun, L.-F. Wang: Two theorems on Hunt's hypothesis (H) for Markov processes,Potential Analysis, 55: 29-52 (2021).
10. G. L. Lan, Z.-C. Hu, W. Sun: The three-dimensional Gaussian product inequality,Journal of Mathematical Analysis and Applications, 485(2), 123858 (2020).
9. Z.-C. Hu, Q.-Q. Zhou: Convergences of random variables under sublinear expectations, Chinese Annals of Mathematics Ser. B, 40(1), 39-54 (2019).
8. Z.-C. Hu, W. Sun: Hunt's hypothesis (H) for the sum of two independent Levy processes,Communications in Mathematics and Statistics, 6(2), 227-247 (2018).
7. Z.-C. Hu, W. Sun: Further study on Hunt's hypothesis (H) for Levy processes,Science China Mathematics, 59(11), 2205-2226 (2016).
6. Z.-C. Hu, W. Sun, J. Zhang: New results on Hunt's hypothesis (H) for Levy processes,Potential Analysis, 42, 585-605 (2015).
5. Z.-C. Hu, W. Sun: Hunt's hypothesis (H) and Getoor's conjecture for Levy processes,Stochastic Processes and their Applications, 122(6), 2319-2328 (2012).
4. Z.-C. Hu, Z.-M. Ma, W. Sun: On representations of non-symmetric Dirichlet forms,Potential Analysis, 32(2), 101-131 (2010).
3. Z.-C. Hu, Z.-M. Ma, W. Sun: Nonlinear filtering of semi-Dirichlet processes,Stochastic Processes and their Applications,119(11), 3890-3913 (2009).
2. Z.-C. Hu, Z.-M. Ma, W. Sun: Extensions of Levy-Khintchine formula and Beurling-Deny formula in semi-Dirichlet forms setting,Journal of Functional Analysis, 239(1), 179-213 (2006).
1. Z.-C. Hu, Z.-M. Ma: Beurling-Deny formula of semi-Dirichlet forms,C. R. Math. Acad. Sci. Paris, 338(7), 521-526 (2004).