  S. K. Donaldson asked whether the lower bound of the Calabi functional is
achieved by a sequence the normalized Donaldson-Futaki invariants. We answer
the question for the Ricci curvature formalism, in place of the scalar
curvature. The principle is that the stability indicator is optimized by the
multiplier ideal sheaves of certain weak geodesic ray asymptotic to the
geometric flow. We actually prove it in the two case: the inverse Monge-Ampere
flow and the Kahler-Ricci flow.
