Li Chen

Li Chen is an Associate Professor at the Department of Mathematics, Aarhus University. Their research focuses on the intersection of harmonic analysis, probability, and partial differential equations, particularly investigating interactions between randomness and analytic/geometric structures in smooth or rough environments.

Key research areas include applications of heat semigroups and heat kernels, with a focus on hypoelliptic operators, fractional Laplacians, and stochastic processes on fractal and metric measure spaces. Recent work involves the Parabolic Anderson model, Dirichlet spaces, and geometric analysis on Lie groups.

Articles highlight trends in stochastic PDEs, functional analysis on fractals (e.g., Vicsek set, Sierpinski gasket), and degenerate elliptic operators in weighted spaces. Co-authored works with F. Baudoin and others demonstrate interdisciplinary approaches to sub-Riemannian geometry and probabilistic methods in analysis.