Professor Xue-Mei Li

Professor Xue-Mei Li holds the Chair in Probability and Stochastic Analysis at the Department of Mathematics, Imperial College London. Her research interests are in probability and stochastic analysis. Professor Li is affiliated with the university's mathematics department and maintains a profile page at https://profiles.imperial.ac.uk/xue-mei.li.

Xue-Mei Li's research focuses on advanced topics in stochastic analysis, particularly the study of Itô maps and their properties within the framework of L² Hodge theory. Their work also explores the behavior of diffusion semigroups and stochastic flows at infinity, utilizing concepts such as weak uniform covers. These investigations contribute to the understanding of stochastic processes and their long-term dynamics. Li's research bridges probabilistic methods with geometric and analytic tools, offering insights into the structure of stochastic differential equations and their associated operators. The work highlights the interplay between stochastic calculus and functional analysis, advancing theoretical developments in mathematical physics and probability theory.