Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA, 15213 USA
Office: Wean Hall 7216
Email: lihanw at andrew dot cmu dot edu
I am a Zheng Family Postdoctoral Fellow in the Department of Mathematical Sciences at Carnegie Mellon University. In the academic year 2022-23 I took a leave from CMU to visit the Max Planck Institute for Mathematics in the Sciences. I received my PhD in mathematics at Duke University, under the supervision of Prof. Jianfeng Lu. I received my BSc degree in mathematics at Tsinghua University, Beijing, China. My current research is centered around two topics, both of them involve analytic tools and functional inequalities to study the mixing of randomness:
1. Langevin dynamics, which is analytically linked with kinetic equations and hypocoercivity, and on the more applied side related with sampling and Markov Chain Monte Carlo algorithms, which is widely used in statistical mechanics and machine learning;
2.stochastic homogenization, which arises from material science, uses tools from analysis and probability, and is of numerical interest.
I also started getting into calculus of variations and gradient flows after joining CMU.
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