Yesterday I was discussing with my sister's boyfriend about a machanical matter: how to know where a moving object will be instant by instant from a point to another if looking at it was a robot.
It's not so simple as we might be tempted to think: the robot moves and at the same time sees something moving. It could usefull for the problem of a car guided by an AI.
Today I though of Alessio Figalli (the second italian winner of the Field Medal 2018): optimal transport, shift an object from a point to another at the lower cost.
A light bulb lit up in my mind: could it be everything connected with the optimal transport or at least with a simplified version?
...help!
