Hilbert's Sixth Problem: From Particles to Waves

Explore Hilbert's Sixth Problem in statistical physics and kinetic theory through this 47-minute conference talk by Yu Deng at BIMSA. Delve into the challenge of rigorously deriving macroscopic laws of motion from microscopic systems with enormous degrees of freedom in the kinetic limit. Examine the problem's applications in both classical particle and quantum/wave settings, leading to classical kinetic theory and modern wave turbulence theory. Review the current state of research on Hilbert's Sixth Problem, including recent advancements in wave turbulence settings from joint works with Zaher Hani of the University of Michigan.