胡泽春 - 四川大学

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

近期论文

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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).

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-