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math.AP2025
On a Hamilton-Jacobi PDE theory for hydrodynamic limit of action minimizing collective dynamics
Jin Feng
We establish multi-scale convergence theory for a class of Hamilton-Jacobi PDEs in space of probability measures. They arise from context of hydrodynamic limit of N-particle determ…
math.PR2025
A system of Schrödinger's problems and functional equations
Toshio Mikami, Jin Feng
We propose and study a system of Schrödinger's problems and functional equations in probability theory. More precisely, we consider a system of variational problems of relative ent…