Jun Kitigawa

Abstract: We consider regularity for Monge solutions to the optimal transport problem when the initial and target measures are supported on the embedded sphere, and the cost function is the Euclidean distance squared. Gangbo and McCann have shown...

The reflector antenna problem is the problem of constructing a reflective surface which directs a specified energy distribution (i.e. light, or radio signals) emanating from the center of a sphere to another specified energy distribution on the so...