Convergence analysis of classical and quantum dynamics via hypocoercivity

Seminar: 
Applied Mathematics
Event time: 
Tuesday, February 4, 2025 - 4:00pm
Location: 
LOM 215
Speaker: 
Jianfeng Lu
Speaker affiliation: 
Duke University
Event description: 

In this talk we will review some recent developments in the framework of hypocoervicity to obtain quantitative convergence estimate of classical and quantum dynamics, with focus on underdamped Langevin dynamics for sampling and Lindblad dynamics for open quantum systems. If time permits, we will also discuss some related problems in two-timescale gradient descent and ascent dynamics.