Mean-field limit for the complex Euler–Monge–Ampère equation
Let x1(t),…,xN(t)x_1(t),\ldots,x_N(t)x1(t),…,xN(t) be the trajectories of the Hamiltonian flow generated by E(N)E^{(N)}E(N), and let δN((x1(t),…,xN(t)))\delta_N((x_1(t),\ldots,x_N(t)))δN((x1(t),…,xN(t))) be their empirical measure. Let ρt\rho_tρt a…