uh my co-author francesco urbani that you can watch at the at the leisure's website so this dynamical mean field theory that describes in a closed form what the gradient flow or the longevity algorithm i have the two versions here is doing is a set of equations that close on three parameters this function c of two times that is a correlation function this function c bar of one time that is a correlation of where the gradient flow is at the given time and the ground true vector x star and a so called response function