I suspect a case of chaos or non-uniqueness. 🧐

It’s hard enough following Stroock when he’s explaining his own perspective.😵‍💫

Naive random sampling of initial conditions and control.

That’s an amazing stat 😵

Fun tangential fact: The idea of velocity-averaging in the flow matching can be found in Lacker's notes on mean-field control. He refers to it as "mimicking".

I like how some inequalities were derived for fun. 😄

A reference for Markov semigroups that I have found extremely useful.
press.princeton.edu/books/hardco...

People are talking about controls in Bluesky?! Where?

Nice timeline! Adjoint equations arose in optimal control of finite dimensional ODE systems initially due to Pontryagin and coworkers extending methods of calculus of variations. Lions popularized them for infinite dimensional systems like PDEs.