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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…
math.PR2006★ 18 cited
Large deviation for diffusions and Hamilton--Jacobi equation in Hilbert spaces
Jin Feng
Large deviation for Markov processes can be studied by Hamilton--Jacobi equation techniques. The method of proof involves three steps: First, we apply a nonlinear transform to gene…