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Probability, Randomness, and Stochastic Dynamics in Science

来源: 03-25

时间:Tues., 13:30-15:00, Mar. 26, 2025

地点:West Lecture Hall, Tsinghua University

主讲人:Xuemei Li

Noether Lecture/诺特讲座

01

Probability, Randomness, and Stochastic Dynamics in Science

Organizer:

Qiuzhen College


Speaker:

Xuemei Li 李雪梅

Imperial College London

Time:

Tues., 13:30-15:00, Mar. 26, 2025

Venue:

West Lecture Hall, Tsinghua University (西阶)

Abstract:

Many natural and social phenomena exhibit randomness due to the complexity of interactions, incomplete information, or intrinsic stochastic behavior. From molecular fluctuations to financial markets, probability theory provides a fundamental framework for modeling and understanding uncertainty. These diverse applications highlight its versatility as a lens for studying complexity.

In this lecture, we explore stochastic dynamical systems, where randomness, noise, and ergodicity play a fundamental role in shaping characteristic behavior. We will see how probability theory not only explains uncertainty but also uncovers deep structural properties of dynamical systems.

About the speaker:

Xue-Mei Li is a professor of mathematics at Imperial College London and at Swiss Federal Institute of Technology Lausanne. Her research spans a wide range of topics, including stochastic differential equations, stochastic partial differential equations, stochastic processes on manifolds, and contemporary challenges in fluctuation problems, coarse curvatures, multi-scale equations, and non-Markovian dynamics with long-range correlations.

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