Speaker: Prof. Zhongming Qian (钱忠民教授)

Time: 10:00-11:00, 5 September 2025 (Friday)  (Beijing time)

Venue: T7-105, BNBU

Language: English



Abstract

There are families of probability measures on path spaces of continuous paths. thediffusion measures and their conditional laws, associated with a time-dependent elliptioperator, These infinite dimensional measures enhance the function of fundamentasolutions and are very useful in the study of parabolic equations. I shall report a result onthe duality of conditional laws associated with an elliptic operator of second-order, andderive new kind of Feynman-Kac formulas representing implicitly solutions of parabolicsystems via diffusion measures.


About the Speaker

钱忠民,牛津大学数学学院终身教授、Exeter学院院士,兼任牛津大学(苏州)高等研究院数学建模与数据分析中心负责人。他是中国科学院“百人计划”第二批入选者,并被苏州市外国专家局认定为“A类外国高端人才”。

钱忠民教授及其科研团队专注于粗糙路径分析与机器学习的交叉研究,研究方向涵盖数学基础理论创新与产业应用转化两大领域。他们构建了“理论突破-算法开发-场景应用”的完整研究链条,不仅在数学前沿理论方面取得重要进展,还推动了相关技术在实际场景中的落地应用,为数学与产业的深度融合提供了全新范式。